A 3-yard-long ribbon was used to trim four dresses. Each dress used the same amount of ribbon. How much ribbon was used for each dress?
Answer(s): D
Convert the measurement to inches: 1 yard = 36 inches; 36 inches × 3 = 108 inches.Divide the total number of inches by the number of dresses being trimmed to determine the length of each piece of ribbon: 108 inches ÷ 4 = 27 inches. Convert the quotient (27 inches) to a fraction of a yard: 27⁄36 = 27 ÷ 36 = 75% = 3⁄4 of a yard.
Sarah found a wallet containing $500 in the street. She returned the wallet to its owner, who gave her a $30 reward.What percentage of the $500 was the reward?
Answer(s): B
Divide $30 by $500 to determine the percentage of $500 that the reward comprised.
A bin of bolts at the hardware store contains 7-dozen bolts when full. The stock clerk is supposed to reorder bolts when the bin is 1⁄6 full.How many bolts are in the bin when it’s time to reorder?
Answer(s): A
First find how many bolts a full bin contains: 7 × 12 = 84 bolts. Then multiply the total number of bolts in a full bin by 1⁄6 to find how many bolts are in the bin when it’s 1⁄6 full:84⁄1 × 1⁄6 = 84⁄6 = 14 bolts.
Two bicyclists head toward each other from the opposite ends of Main Street, which is six miles long. The first biker started at 2:05 going 12 mph. The second biker began peddling 4 minutes later at a rate of 14 mph.What time will they meet?
Answer(s): C
The first bike got a 4⁄5 mile head start (12 × 4⁄60). Therefore, by the time the second bike leaves, there are 51⁄5 miles between them (6 – 4⁄5). Their combined rate of travel is 12 + 14 = 26 mph. Let t = the number of hours the second bike travels.26t = 51⁄526t = 26⁄5t = 26⁄5 ÷ 26⁄1t = 26⁄5 × 1⁄26t = 1⁄51⁄5 of an hour = 20 minutes. The second bike left at 2:09, so both bikes will meet at 2:29.
A recipe calls for 8 ounces of black beans or red beans. The cheapest option to buy and use would be .
Choice (one 8-ounce can of red beans at $1.49) is the cheapest option. Calculate each answer option and compare:Choice (two 4-ounce cans of black beans at $0.79 each): 2 × $0.79 = $1.58. Choice (one 8-ounce can of red beans at $1.49): $1.49.Choice (two 3-ounce cans of black beans at $0.59 each): Two 3-ounce cans don’t equal 8 ounces, so this answer can’t be correct.Choice (three 3-ounce cans of red beans at $0.65 each): 3 × $0.65 = $1.95.
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