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Unformatted text preview: $2.50, how many dimes are there? (A) 6 (B) 8 (C) 9 (D) 10 (E) 12 How many quarts of water must be added to 18 quarts of a 32% alcohol solution to dilute it to a solution that is only 12% alcohol? (A) 10 (B) 14 (C) 20 (D) 30 (E) 34 5. Danny drove to Yosemite Park from his home at 60 miles per hour. On his trip home, his rate was 10 miles per hour less and the trip took one hour longer. How far is his home from the park? (A) 65 mi. (B) 100 mi. (C) 200 mi. (D) 280 mi. (E) 300 mi. Two cars leave a restaurant at the same time and travel along a straight highway in opposite directions. At the end of three hours they are 300 miles apart. Find the rate of the slower car, if one car travels at a rate 20 miles per hour faster than the other. (A) 30 (B) 40 (C) 50 (D) 55 (E) 60 The numerator of a fraction is one half the denominator. If the numerator is increased by 2 and the denominator is decreased by 2, the value of the fraction is 2 . Find the numerator of the original fraction. 3 (A) 4 (B) 8 (C) 10 (D) 12 (E) 20 2. 6. 3. 7. 4. 171 172 Chapter 12 8. Darren can mow the lawn in 20 minutes, while Valerie needs 30 minutes to do the same job. How many minutes will it take them to mow the lawn if they work together? (A) 10 (B) 8 (C) 16 (D) (E) 6 2 12
1 9. Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now? (A) 6 (B) 12 (C) 18 (D) 20 (E) 24 10. Mr. Barry invested some money at 5% and an amount half as great at 4%. His total annual income from both investments was $210. Find the amount invested at 4%. (A) $1000 (B) $1500 (C) $2000 (D) $2500 (E) $3000 In the following sections, we will review some of the major types of algebraic problems. Although not every problem you come across will fall into one of these categories, it will help you to be thoroughly familiar with these types of problems. By practicing with the problems that follow, you will learn to translate words into mathematical equations. You should then be able to handle other types of problems confidently. In solving verbal prob...
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- Spring '10