Question: Milton has some books about zoology and 4 times as many books about botany. If he has 80 books total, how many zoology books does he have?
Answer: Let z be the number of zoology books and b be the number of botany books. We know that z + b = 80 and b = 4z. Substituting the second equation into the first equation, we get z + 4z = 80. Combining like terms, we get 5z = 80. Dividing both sides by 5, we get z = 16. The answer is 16.
[Question]In a batch of 30 apples, 1/6 are too small and 1/3 are not ripe. The others are perfect. Calculate the number of perfect apples.
[Answer]We first calculate the proportion of all the other apples: 1 / 6 + 1 / 4 + 1 / 12 = 2 / 12 + 3 / 12 + 1 / 12 = 6 / 12. So, the proportion of perfect apples is 12 / 12 - 6 / 12 = 6 / 12 = 0.5. Thus the number of perfect apples is 0.5 * 30 = 15. The answer is 15.
Q: A restaurant is counting their sales for the day. They sold 10 meals at $8 each, 5 meals at $10 each, and 20 meals at $4 each. In dollars, how much money did the restaurant make throughout the day?
A: From the first set of meals, the restaurant earned 10 meals * $8 = $80. From the second set of meals, the restaurant earned 5 meals * $10 = $50. From the third set of meals, the restaurant earned 20 meals * $4 = $80. In total, the restaurant earned $80 + $50 + $80 = $210. The answer is 210.
Question: Adrian has the choice between two boxes of contacts. One has 50 contacts for $25, and the other has 99 contacts for $33. He chooses the box that costs less per individual contact. How many contacts will it take to equal $1 worth in whatever box he decides to buy?
Answer: First, we need to determine the price per contact in each of the two choices. We begin by performing 50 / 25 = 2 contacts per every dollar spent on choice A. Next, we determine the price per contact of the alternate choice. We do this by performing 99 / 33 = 3 contacts for every dollar spent on choice B. Since 3>2, Adrian purchases choice B. The answer is therefore 3. The answer is 3.
[Question]Janet has 1/3 of a bottle of rose shampoo and 1/4 of a bottle of jasmine shampoo. If she uses 1/12 of a bottle of shampoo per day, how many days will her shampoo last?
[Answer]First cross - multiply to give both fractions the same denominator, then add the fractions: 1 / 3 + 1 / 4 = 4 / 12 + 3 / 12. Then add these fractions to find that she has 4 / 12 + 3 / 12 = 7 / 12 of a bottle of shampoo left. Then divide the total amount of shampoo she has by the amount she uses per day to find the number of days the shampoo will last: 7 / 12 / 1 / 12 / day = 7 days. The answer is 7.
[Question]John has a raw squat of 600 pounds without sleeves or wraps. Sleeves add 30 pounds to his lift. Wraps add 25% to his squat. How much more pounds does he get out of wraps versus sleeves.
[Answer]
Wraps add 600 * .25 = 150 pounds to his lift. So they add 150 - 30 = 120 pounds more than sleeves. The answer is 120.