[Question]Brooke is milking cows and then selling the milk at the market for $3 a gallon. Whatever milk doesn't sell, she turns into butter. One gallon of milk equals 2 sticks of butter. She then sells the butter for $1.5 a stick. She has 12 cows. Each cow produces 4 gallons of milk. She has 6 customers, each of whom wants 6 gallons of milk. How much money does she earn if she sells all her milk and butter?
[Answer]A gallon of milk makes $3 worth of butter because 2 x 1.5 = 3. A gallon of milk sells for the same amount as milk or butter because 3 = 3. She gets 48 gallons of milk because 4 x 12 = 48. She earns $144 selling the milk because 48 x $3 = 144. The answer is 144.
Q: While driving up a road, Philip passed through 5 intersections. 4 crosswalks marked each intersection with a total of 20 lines per crosswalk. Calculate the total number of lines of the crosswalks in the five intersections.
A: If one intersection has 4 crosswalks, with 20 lines per crosswalk, there are 20 * 4 = 80 lines in all the crosswalks per intersection. If there are 5 intersections, the total number of lines in all the intersections is 80 * 5 = 400 lines. The answer is 400.
Question: Lorin has 4 black marbles. Jimmy has 22 yellow marbles. Alex had twice as many black marbles as Lorin and one half as many yellow marbles as Jimmy. How many marbles does Alex have?
Answer: Alex has 2 * 4 = 8 black marbles. Alex has 22 / 2 = 11 yellow marbles. Alex has 8 + 11 = 19 marbles. The answer is 19.
[Question]Janet pays $40/hour for 3 hours per week of clarinet lessons and $28/hour for 5 hours a week of piano lessons. How much more does she spend on piano lessons than clarinet lessons in a year?
[Answer]First find the total Janet spends on clarinet lessons per week: $40 / hour * 3 hours / week = $120 / week. Then find the total Janet spends on piano lessons per week: $28 / hour * 5 hours / week = $140 / week. Then subtract her weekly clarinet spending from her weekly piano spending to find the weekly difference: $140 / week - $120 / week = $20 / week. Then multiply the weekly difference by the number of weeks in a year to find the annual difference: $20 / week * 52 weeks / year = $1040 / year. The answer is 1040.
Q: At a recent fishing tournament, Alex caught 7 times as many fish as Jacob. Jacob did not think that he had any chance of winning, but Alex became overconfident and knocked over his bucket of fish, losing 23 fish back to the lake. If Jacob had 8 fish at the beginning, how many more fish does he need to catch to beat Alex by just 1 fish?
A: At the beginning, Jacob had 8 fish. Alex had 7 * 8 = 56 fish. After knocking the bucket over, Alex was left with 56 - 23 = 33 fish left. The final amount caught by Jacob to beat Alex by 1 fish is 33 + 1 = 34 fish. Then Jacob needs to catch 34 - 8 = 26 fish more. The answer is 26.
Question: Dr. Jones earns $6,000 a month. His house rental is $640 each month; his monthly food expense is $380; his electric and water bill costs 1/4 of what he makes, and his insurances cost 1/5 of what he makes. How much money does he have left after paying those four bills?
Answer:
Dr. Jones pays $6000 / 4 = $ 1500 for his electric and water bill. He pays $6000 / 5 = $1200 for his insurances. The total amount he pays for the bills and insurances is $1500 + $1200 = $2700. The remaining money from his earning after paying off the bills and insurance is $6000 - $2700 = $3300. The total amount he needs to pay for the rent and food expenses is $640 + $380 = $1020. So, Dr. Jones has $3300 - $1020 = $2280 left. The answer is 2280.