[Question]Emily is 20 years old and her older sister, Rachel, is 24 years old. How old is Rachel when Emily is half her age?
[Answer]The difference in age between the two sisters is 24 - 20 = 4 years. When Rachel is twice Emily’s age, she is 4 x 2 = 8 years old. The answer is 8.
Q: For the summer, the clothing store has a 50% discount for all items. On Wednesdays, there is an additional $10.00 off on all jeans after the summer discount is applied. Before the sales tax applies, the cost of a pair of jeans is $14.50. How much was the original cost for the jeans before all the discounts?
A: Before the Wednesday discount, the cost of the jean is $14.50 + $10.00 = $24.50. Since the original price was reduced by 50%, the original cost for the jeans is $24.50 * 2 = $49.00. The answer is 49.
Question: One student on a field trip counted 12 squirrels. Another counted a third more squirrels than the first student. How many squirrels did both students count combined?
Answer: The second student counted 12 / 3 = 4 more squirrels than the first student. The second student counted 12 + 4 = 16 squirrels. Together, the first and second student counted 12 + 16 = 28 squirrels combined. The answer is 28.
[Question]Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple?
[Answer]Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r. Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24. Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315. Now combine like terms to get 6p + 30 = 312. Now subtract 30 from both sides to get 6p = 282. Now divide both sides by 6 to get p = 47. The answer is 47.
Q: Gary is buying chlorine for his rectangular pool, which is 10 feet long, 8 feet wide, and 6 feet deep. Gary needs to buy one quart of chlorine for every 120 cubic feet of water in his pool. If chlorine costs $3 a quart, how much does Gary spend on chlorine?
A: First find the volume of the pool by multiplying the length by the width by the height: 10 ft * 8 ft * 6 ft = 480 cubic feet. Then divide the volume of the pool by the number of cubic feet one quart of chlorine can sterilize: 480 cubic feet / 120 cubic feet / quart = 4 quarts. Then multiply the number of quarts Gary needs to buy by the price per quart to find out how much money he spends: $3 / quart * 4 quarts = $12. The answer is 12.
Question: Stan weighs 5 more pounds than Steve. Steve is eight pounds lighter than Jim. If Jim weighs 110 pounds and the three of them crowd onto a scale at the same time, what is their total weight?
Answer:
Steve weighs 110 - 8 = 102 pounds. Stan weighs 102 + 5 = 107 pounds. Their total weight is 102 + 107 + 110 = 319 pounds. The answer is 319.