[Question]Mason is mixing up some salad dressing. He takes a bowl that holds 150 ml and fills it 2/3rds with oil and 1/3rd with vinegar. The oil weighs 5 g/ml and the vinegar weighs 4 g/ml. How many grams does the salad dressing weigh?
[Answer]First find how many ml of oil Mason adds by multiplying the volume of the bowl by the proportion filled with oil: 150 ml * 2 / 3 = 100 ml. Then repeat the process to find how many ml of vinegar he added: 150 ml * 1 / 3 = 50 ml. Now find the weight of the oil by multiplying the volume by the weight / volume ratio: 100 ml * 5 g / ml = 500 g. Do the same procedure with the weight and weight / volume ratio of the vinegar to find its weight: 50 ml * 4 g / ml = 200 g. Now add the weight of the oil and the vinegar to find the weight of the salad dressing: 500 g + 200 g = 700 g. The answer is 700.
Q: John's car gets 30 mpg. He drives 20 miles to work each way 5 days a week. He also drives another 40 miles a week for leisure travel. How many gallons of gas does he use a week?
A: He drives 20 * 2 = 40 miles per day for work. So he drives 40 * 5 = 200 miles for work. So he drives a total of 200 + 40 = 240 miles per week. That means he uses 240 / 30 = 8 gallons of gas a week. The answer is 8.
Question: A cheetah can run at a top speed of 60 mph. The gazelle can run for speeds of up to 40 miles per hour. If one mile per hour is about 1.5 feet per second, then how many seconds would it take for a cheetah traveling at top speed to catch up to a fleeing gazelle also running at top speed if the two animals were initially 210 feet apart and they both traveled in the same direction?
Answer: 60 mph is 60 * 1.5 = 90 feet per second. 40 mph is 40 * 1.5 = 60 feet per second. Thus, for every second, the cheetah advances on the gazelle by 90 - 60 = 30 feet per second. To close on a distance of 200 feet, it would take the cheetah 210 / 30 = 7 seconds to catch the gazelle. The answer is 7.
[Question]At a coffee shop, 7 customers order coffee at $5 each and 8 customers order tea at $4 each. How much money did the coffee shop make?
[Answer]Sale from coffee is 7 x $5 = $35. Sale from tea is 8 x $4 = $32. Total sales is $35 + $32 = $67. The answer is 67.
Q: The ratio of cows to bulls in a barn is 10:27. If there are 555 cattle on the farm, how many bulls are on the farm?
A: The total ratio of cattle on the farm is 10 + 27 = 37. Since the fraction that represents bulls from the total ratio is 27 / 37, the number of bulls on the farm is 27 / 37 * 555 = 405. The answer is 405.
Question: Brian is a real estate agent. He makes a 2% commission on each sale. During June, he sold three houses. The houses sold for $157,000, $499,000, and $125,000. What was Brian’s total commission on these three sales?
Answer:
Brian sold houses for 157,000 + 499,000 + 125,000 = $781,000 in total. Brian's commission was 781,000 * 0.02 = $15,620. The answer is 15620.