A baker sells a dozen donuts for $3.99.The cost to make three donuts is $0.45. How much is the total profit on 5-dozen donuts?
Answer(s): D
Multiply $0.45 (the cost of making 3 donuts) by 4 to find the cost of making a dozen donuts: $0.45 × 4 = $1.80. Then multiply the cost of making a dozen donuts by 5 to determine the cost per 5 dozen: $1.80 × 5 = $9.00.Next, multiply the selling price per dozen times 5, the number of dozens sold: $3.95 × 5 = $19.95. Finally subtract the cost of making 5-dozen donuts from the price the baker sells them for to determine the profit: $19.95 – $9.00 = $10.95.
Your piggy bank contains $19.75 in dimes and quarters. There are 100 coins in all. How many dimes are there?
Answer(s): C
Let x equal the number of dimes. Then 100 – x represents the number of quarters. There is $0.10x in dimes and $0.25(100 – x) in quarters.0.10x + 0.25(100 – x) = 19.750.10x + 25 – 0.25x = 19.75 –0.15x = –5.25x = –5.25/–0.15x = 35
A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot × 16-foot patio?
First determine the square footage of the patio: 12 feet × 16 feet = 192 square feet. Then multiply this number by the cost per square foot to determine what the brick layer charges: 192 × $8 = $1,536.
Terry earns three times more per hour than Tim. Tim earns $2 more per hour than Angie. As a group they earn $43 per hour.What’s Angie’s hourly wage?
Answer(s): A
Let x equal Angie’s hourly wage. x + 2 would then represent Tim’s hourly wage, and 3(x + 2) would represent Terry’s hourly wage.x + (x +2) + 3(x +2) = 43 x + x + 2 + 3x + 6 = 43 5x + 8 = 435x = 35x = 35⁄5x = 7
If 4 people can run 8 machines, how many machines can 2 people run?
Answer(s): B
Two people is 1⁄2 as many as 4 people: 2 ÷ 4 = 1⁄2. Multiply the number of machines 4 people can run by 1⁄2 to determine how many machines 2 people can run: 8 × 1⁄2 = 4.
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