[Question]Megan's grandma gave her $125 to start a savings account. She was able to increase the account by 25% from funds she earned babysitting. Then it decreased by 20% when she bought a new pair of shoes. Her final balance is what percentage of her starting balance?
[Answer]Megan started with $125 and increased it by 25%, so $125 + (0.25)125 or $125 + $31.25 = $156.25. Then the balance decreased by 20%, so $156.25 (0.20)156.25 or $156.25 - $31.25 = $125. $125 is the balance Megan started with, so her final balance is 100% of the starting balance. The answer is 100.
Q: Miriam has five times as many albums as Katrina. Katrina has six times the number of albums as Bridget. Bridget has 15 fewer albums than Adele. How many albums do they have together if Adele has 30 albums?
A: Since Adele has 30 albums, and Bridget has 15 fewer, Bridget has 30 - 15 = 15 albums. Together, Bridget and Adele has 30 + 15 = 45 albums. Katrina has six times the number of albums as Bridget, a total of 15 * 6 = 90 albums. Adele, Bridget, and Katrina have a total of 90 + 45 = 135 albums together. Miriam has five times the number of albums as Katrina, a total of 5 * 90 = 450 albums. Together, Adele, Bridget, Katrina, and Miriam have 135 + 450 = 585 albums. The answer is 585.
Question: Peter has a plan to take his family on a vacation to Germany. He needs $5,000 to cover all the spending for the travel, and he has $2,900 in savings right now. If he can save up $700 each month, how many months does he need to wait to reach his goal?
Answer: Peter needs $5,000 $2,900 = $2,100 in total. He will have to wait for $2100 $700 / month = 3 months to reach his goal. The answer is 3.
[Question]Jake earns thrice what Jacob does. If Jacob earns $6 per hour, how much does Jake earn in 5 days working 8 hours a day?
[Answer]Jake earns $6 * 3 = $18 per hour. Working, 8 hour in a day, he earns $18 * 8 = $144. So in 5 days, Jake earns $144 x 5 = $720. The answer is 720.
Q: There are 3/5 times as many people living in Boise as the number living in Seattle. There are 4000 more people in Lake View than the population in Seattle. If Lake View's population is 24000, calculate the total population of the three cities.
A: If Lake View's population is 24000, then there are 24000 - 4000 = 20000 people living in Seattle. The total population of Seattle and Lake view is 20000 + 24000 = 44000. Since the population in Boise is 3 / 5 times that of Seattle, there are 3 / 5 * 20000 = 12000 people living in Boise. The three cities have a total population of 44000 + 12000 = 56000. The answer is 56000.
Question: To make pizza, together with other ingredients, Kimber needs 10 cups of water, 16 cups of flour, and 1/2 times as many teaspoons of salt as the number of cups of flour. Calculate the combined total number of cups of water, flour, and teaspoons of salt that she needs to make the pizza.
Answer:
To make the pizza, Kimber half as many teaspoons of salt as the number of cups of flour, meaning she needs 1 / 2 * 16 = 8 teaspoons of salt. The total number of cups of flour and teaspoons of salt she needs is 8 + 16 = 24. She also needs 10 cups of water, which means the total number of cups of water and flour and teaspoons of salt she needs is 24 + 10 = 34. The answer is 34.