01. Students at Monty High with a class size under of 30 took a math test. One third of the class got a "B", one quarter a "B-", one sixth a "C", and one eighth failed. The remainder of the students got an "A" How many students got an "A"?
02. When manufacturing bars of soap, the cutting machine produces scraps. The scraps from 11 bars of soap can be made into one extra bar. What is the total number of bars that can be made after cutting 250 bars of soap?
03. Kerry loves dumplings. He can eat 32 of them in an hour. His brother Pete needs 3 hours to eat the same amount. How long will it take them both together to eat 32 dumplings?
04. Joe bought a bag of oranges on Monday, and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find he only had two oranges left. How many oranges were originally in the bag?
05. Joan and Jane are sisters. Jean is Joan's daughter and 12 years younger than her aunt. Joan is twice as old as Jean. Four years ago, Joan was the same age as Jane is now, and Jane was twice as old as her niece. How old is Jean?
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Answers:
01. First find the common denominator for the numbers 3, 4, 6, and 8. The only common denominator less than 30 is 24. Therefore, the students with a "B" = 8, "B-"= 6, "C" =4, failed = 3. This represents 21 of the students; so the 3 remaining students received an "A".
02. Divide 250 by 11 which equals 22.8. Now when you combine the extra 8 scraps with the scraps you'll have from the 22 bars, you'll have 30 more scraps. They will produce 2 more bars; so the total additional bars will be 24.
03. If Kerry eats 3 times as fast as Pete, he must be able to eat 3 times as many dumplings as his brother. Therefore, Kerry eats 24 while Pete eats 8 ( 32 ÷ 4 = 8 ). Together it takes them 45 minutes.
04. He had 6 oranges to start with, and ate 2 the first day and 2 the second day.
05. Joan is 32, Jane is 28, and Jean is 16.
