[Question]A blind cave scorpion survives by catching millipedes. It needs to eat lots of millipedes to survive: a total of 800 body segments every day. If it's already eaten one millipede with 60 segments and 2 millipedes that are twice as long, how many 50-segment millipedes does it need to eat to reach its daily total?
[Answer]First, the number of segments in the 2 millipedes that are twice as long is 60 segments * 2 = 120 segments. Then one can multiply the segments by the 2 millipedes to find the total number of segments: 120 segments / millipede * 2 millipedes = 240 segments. In total, we then find the scorpion has eaten one 60 - segment millipede in addition to the 3 millipedes above for a total of 60 + 240 = 300 segments. So, the number of segments it still needs to eat are : 800 segments - 300 segments = 500 segments. Thus, it needs to eat an additional 500 segments / 50 segments / millipede = 10 millipedes. The answer is 10.
Q: Bob started out the week with $80. On Monday alone, he spent half the money. On Tuesday, he spent one-fifth of the amount left from Monday. On Wednesday, he spent 3/8ths of the amount left from Tuesday. How much does he have left now?
A: On Monday, he spent half of $80 leaving him with $80 - (1 / 2) * $80 = $40. On Tuesday, he spent 1 / 5th of $40 leaving $40 - (1 / 5) * 40 = $32. On Wednesday, he spent 3 / 8ths of $32 leaving $32 - (3 / 8) * $32 = $20. The answer is 20.
Question: Toby held a garage sale to raise money to support friends who have lost their jobs. Of all the items that he sold during the garage sale, three of the items he sold made up 75% of the total amount of sales money he earned. He sold a treadmill for $100, a chest of drawers for half as much as he made for selling the treadmill, and he sold a television for three times what he earned for selling the treadmill. What is the total sum of money, in dollars, that Toby made at the garage sale?
Answer: The chest of drawers sold for half as much as the treadmill, for a price of $100 / 2 = $50. The television sold for three times what he earned for the treadmill, for a price of $100 * 3 = $300. For the three items, he raised $100 + $50 + $300 = $450. If $450 is 75% of the total sum of money that Toby made at the garage sale, then the total amount is $450 / (75 / 100) = $600. The answer is 600.
[Question]In three baseball games this week, eighty people watched the second game while 20 fewer people watched the first game than the second game. Then 15 more people watched the third than the second game. If there were a total of 200 people who watched the games last week, how many more people watched the games this week than last week?
[Answer]This week, 80 - 20 = 60 people watched the first game. While 80 + 15 = 95 people watched the third game. A total of 80 + 60 + 95 = 235 people watched the games this week. Thus, 235 - 200 = 35 more people watched the games this week than last week. The answer is 35.
Q: There are 30 students in the general study hall and twice as many students in the biology hall as there are in the general study hall. If the number of students in the math hall is 3/5 times as many as the combined total number of students in the general study hall and the biology hall combined, calculate the total number of students in all the halls combined.
A: The number of students in the biology hall is twice the number of students in the general hall, meaning there are 2 * 30 = 60 students in the biology hall. The total number of students in the biology hall and general study hall is 60 + 30 = 90 students. If there are 3 / 5 times as many students in the maths hall as there are in the general study hall and biology hall, their number is 3 / 5 * 90 = 54 students in the maths hall. The total number of students in the three halls is 54 + 90 = 144 students. The answer is 144.
Question: On a farm, there are 2 cows, 3 pigs, and 6 goats. The farmer planned on adding 3 cows, 5 pigs, and 2 goats. How many animals will there be on the farm?
Answer:
Currently, the farm has 2 + 3 + 6 = 11 animals. The farmer will add 3 + 5 + 2 = 10 animals. So, the farm will have 11 + 10 = 21 animals. The answer is 21.