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<s>[INST] Can you write a short introduction about the relevance of the term "Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = 72 cubic ft

Then figure out what proportion of the aquarium is full after the cat knocks it over: 1/2 * 1/2 = 1/4

Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1/4 = 3/4

Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3/4 = 54 cubic ft

54 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "John is very unfit and decides to work up to doing a push-up. He trains 5 days a week for them and starts with wall push-ups. He adds 1 rep a day and once he gets to 15 reps he will start training high elevation push-ups. and then low elevation push-ups, and finally floor push-ups. How many weeks will it take him to get to floor push-ups?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] He needs to do 15*3=45 progressions

That will take 45/5=9 weeks

9 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] He has 20/2=10 black socks

So he has 20+10=30 black and red socks

So he has 30*2=60 white socks

So he has 60+30=90 total socks

90 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Jason drives past 3 convenience stores on his way to work. The distance between the first store and the second store is 6 miles. The distance between the second store and third store is 2/3rds longer than the distance between the first two stores. The distance from his house to the first store and the last store to work is the same, 4 miles. How long in miles is Jason's commute to work?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the additional distance between the second store and the third store: 6 miles * 2/3 = 4 miles

Then add that to the distance between the first two stores to find the total distance between the second and third stores: 4 miles + 6 miles = 10 miles

Then add the distance between the first two stores, the distance from Jason's house to the first store, and the distance from the last store to work: 10 miles + 6 miles + 4 miles + 4 miles = 24 miles

24 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Wanda walks her daughter .5 miles to school in the morning and then walks .5 miles home. She repeats this when she meets her daughter after school in the afternoon. They walk to school 5 days a week. How many miles does Wanda walk after 4 weeks?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] She walks .5 miles to school and back 4 times a day so that's .5*4 = 2 miles

She walks 2 miles a day for 5 days so that's 2*5 = 10 miles

Over 4 weeks of walking 10 miles per week she walks 4*10 = 40 miles

40 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Chef Michel made shepherd's pie cut into 4 pieces and chicken pot pie cut into 5 pieces for the lunch crowd. 52 customers ordered slices of shepherd's pie and 80 customers ordered slices of chicken pot pie. How many total pies did Chef Michel sell?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] Chef Michel sold 52 / 4 = 13 shepherd's pies.

He sold 80 / 5 = 16 chicken pot pies.

He sold a total of 13 + 16 = 29 meat pies.

29 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Annie spends 2 hours a week on chess club, 8 hours a week on drama club, and 3 hours a week on glee club. If there are 12 weeks in each semester and Annie takes the first two weeks off sick, how many hours of extracurriculars does she do before midterms?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the total number of extracurricular hours Annie does per week: 2 hours/week + 8 hours/week + 3 hours/week = 13 hours/week

Then find the number of weeks in a semester before midterms by dividing the total number of weeks by 2: 12 weeks/semester / 2 = 6 weeks/semester

Then find the number of weeks before midterms that Annie wasn't sick: 6 weeks - 2 weeks = 4 weeks

Then multiply Annie's weekly commitment by the number of weeks to find her total number of extracurricular hours: 13 hours/week * 4 weeks = 52 hours

52 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Forty percent of the students have elected to learn from home during the pandemic. The remaining students are divided into two equal groups, only one of which is physically in school on any day. What percent of students are present in school?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] 100-40=60 percent of students are remaining.

60/2=30 percent are present in school.

30 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Jack collects all his neighbors' recycling and sorts out the cans and bottles to return for the deposit. He gets 10 cents per bottle and 5 cents per can. If he recycled 80 bottles and made $15, how many cans did he recycle?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] First find the total amount Jack earned from the bottles: $0.10/bottle * 80 bottles = $8.00

Then subtract that amount from his total earnings to find the amount he earned from cans: $15.00 - $8.00 = $7.00

Then divide his total earnings from cans by his earnings per can to find the number of cans he recycled: $7.00 / $0.05/can = 140 cans

140 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "The ski lift carries skiers all the way from the bottom of the mountain to the very top of the mountain, and then drops them off so they can ski back down the mountain. If it takes a skier 15 minutes to ride the lift from the bottom to the top of the mountain, and then it takes 5 minutes to ski back down the mountain, what is the most number of times a person can ski down the mountain in 2 hours?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] East trip up and back down the mountain takes 15+5=20 minutes per trip.

Two hours is 2*60=120 minutes.

Therefore, in 120 minutes, a skier can take 120/20=6 trips up and back down the mountain.

6 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "When the strawberries at Fruity Farm are ready for harvest, Miguel charges each interested picker $4 to access the strawberry fields. Once there, people pick as many strawberries as they wish, and then take them to Miguel for weighing and pricing. This year, the standard price of a pound of strawberries is $20. Miguel is a very generous man. He deducts the entrance charge from the cost of the harvest. Sally, Jenny and Moses have just finished their strawberry picking and are headed home. They paid $128 for their harvest. How many pounds of strawberry did they pick?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] To gain entry into the strawberry fields, Sally, Jenny and Moses paid a total of 4 * 3 = 12 dollars

This means that before Miguel applied the $12 discount, the cost was 128 + 12 = 140 dollars

We get the weight by dividing the cost by the price of strawberries per pound, 140/20 = 7 pounds

7 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Tom invites his parents and 3 siblings to his house. They each eat 3 times a day. How many plates do Tom and his guests use while they are there for the 4 days if each person uses 2 plates per meal?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] There were 1+2+3=6 people at the house

That means they use 6*2=12 plates per meal

So they use 12*3=36 plates per day

That means they use 36*4=144 plates for the visit

144 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Paul made two bank transfers of $90 and $60 respectively. A service charge of 2% was added to each transaction. If the second transaction was reversed (without the service charge), what is his account balance now if it was $400 before he made any of the transfers?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] 2% of $90 is (2/100)*$90 = $1.8

2% of $60 is (2/100)*$60 = $1.2

The second transaction was reversed without the service charge so only a total of $90+$1.8+$1.2 = $93 was deducted from his account

He will have a balance of $400-$93 = $307

307 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Jame is trying to learn to tear playing cards. He can tear 30 cards at a time. A new deck of cards has 55 cards if you include the jokers and blank cards. He tears cards 3 times a week. If he buys 18 decks how many weeks can he go?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] He tears 30*3=90 cards a week

He bought 55*18=990 cards

So he can tear for 990/90=11 weeks

11 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "In Henry's collection of music CDs, he has 3 more country CDs than rock CDs but twice as many rock CDs as classical CDs. If he has 23 country CDs, how many classical CDs make up his collection?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] Henry has 23-3=20 rock CDs.

Henry has 20/2=10 classical CDs.

10 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now?" in 1? Please use examples related to potential situations in this context and cite relevant research. [/INST] If Rena will be 5 years older than Pam in 10 years, this means they have a 5 year age gap.

Therefore, to be twice Pam's age, Rena would have to be 5*2=10 years old.

This means that Pam is currently 10-5= 5 years old.

5 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Shara borrowed money from her brother 6 months ago. She returned $10 per month to her brother. Currently, she was able to return half of the money she borrowed. How much will she still owe her brother 4 months from now?" in 2? Please use examples related to potential situations in this context and cite relevant research. [/INST] For 6 months, Shara was able to return $10 x 6 = $60 to her brother.

Since she already returned half of the money, then this means she currently owes her brother $60.

Four months from now, she will be able to pay an additional $10 x 4 = $40.

Thus, she will still owe her brother $60 - $40 = $20 four months from now.

20 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Antonio is preparing a meal of spaghetti and meatballs for his family. His recipe for meatballs calls for 1/8 of a pound of hamburger per meatball. Antonio has 8 family members, including himself. If he uses 4 pounds of hamburger to make meatballs, and each member of the family eats an equal number of meatballs, how many meatballs will Antonio eat?" in 3? Please use examples related to potential situations in this context and cite relevant research. [/INST] If one meatball is made from 1/8 pound of hamburger meat, then 4 pounds of hamburger meat will make 4/(1/8)=4*8=32 meatballs.

32 meatballs divided amongst 8 family members is 32/8=4 meatballs per family member.

4 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "In preparation for the upcoming Olympics, Rita's swimming coach requires her to swim a total of 1,500 hours. Rita has already completed 50 hours of backstroke, 9 hours of breaststroke, and 121 hours of butterfly, but she is unhappy with her inconsistency. She has therefore decided to dedicate 220 hours every month practicing freestyle and sidestroke. How many months does Rita have to fulfill her coach’s requirements?" in 4? Please use examples related to potential situations in this context and cite relevant research. [/INST] So far, time spent practicing backstroke, breaststroke, and butterfly is 50 + 9 + 121 = 180 hours

Since Rita’s must swim 1500 hours, the freestyle and sidestroke practice sessions will take 1500 - 180 = 1320 hours

Rita will practice for 220 hours/month, meaning she will meet her coach’s target in 1320/220 = 6 months.

6 </s>

<s>[INST] Can you write a short introduction about the relevance of the term "Jack has 42 pounds, 11 euros, and 3000 yen. If there are 2 pounds per euro and 100 yen per pound, how much does Jack have in yen?" in 5? Please use examples related to potential situations in this context and cite relevant research. [/INST] First convert the euros to pounds: 11 euros * 2 pounds/euro = 22 pounds.

Then add that amount to the amount Jack has in pounds: 22 pounds + 42 pounds = 64 pounds.

Then convert the pounds to yen: 64 pounds * 100 yen/pound = 6400 yen.