A baker made 20 pies. A Boy Scout troop buys one-fourth of his pies, a preschool teacher buys one-third of his pies, and a caterer buys one-sixth of his pies.How many pies does the baker have left?
Answer(s): D
Convert the different denominators to a common denominator that all the denominators can divide into evenly. 4, 3, and 6 all divide evenly into 12.To convert 1⁄4 to x⁄12, divide 12 (the new common denominator) by 4 (the old common denominator) to get 3. Then multiply 1⁄4 by 3⁄3 (another way of saying 1).Do the same calculation for the other fractions: 1⁄3 = 4⁄12 and 1⁄6 = 2⁄12. Then add the new numerators together: 3 + 4 + 2 = 9.This gives you your new added numerator.Place the added numerator over the new denominator, and you can see that 9⁄12 of the pies have been sold. 9⁄12 can be reduced to 3⁄4.3⁄4 or 75% of the pies have been sold. 20 × 0.75 = 15.15 of 20 pies have been sold. 20 – 15 = 5 pies remaining
Miriam bought five cases of motor oil on sale. A case of motor oil normally costs $24.00, but she was able to purchase the oil for $22.50 a case.How much money did Miriam save on her entire purchase?
Answer(s): A
Subtract the sale price from the regular price: $24.00 – $22.50 = $1.50. Multiply the remainder by the number of cases to get your answer: $1.50 × 5 = $7.50.
A security guard walks the equivalent of six city blocks when he makes a circuit around the building.If he walks at a pace of eight city blocks every 30 minutes, how long will it take him to complete a circuit around the building, assuming he doesn’t run into any thieves?
Answer(s): C
Divide 30 by 8 to determine that the security guard takes 3.75 minutes to walk one city block. Multiply 3.75 by 6, the number of blocks it takes to complete the circuit, to arrive at 22.50, or 221⁄2 minutes.
The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted.The town council originally predicted the city’s population would grow by .
Answer(s): B
Let x = the original estimate. An additional one-fifth would be 6⁄5x, or 120% of x. The equation can be expressed as 1.2x = 600000.To solve for x, divide both sides of the equation by 1.2.x = 500,000.
Joan is taking an admissions examination.If she has to get at least 40 of the 60 questions right to pass, what percent of the questions does she need to answer correctly?
Divide the number of questions she must get right (40) by the total number of questions (60) to reach 662⁄3%.
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