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Unformatted text preview: he original solution plus the amount of alcohol added must equal the amount of alcohol in the new solution.
600 + 100 x = 50 (15 + x ) 600 + 100 x = 750 + 50 x 50 x = 150 x=3 3 quarts of alcohol should be added. www.petersons.com Problem Solving in Algebra 181 Exercise 6
Work out each problem. Circle the letter that appears before your answer. 1. Express, in terms of x, the value, in cents, of x pounds of 40–cent cookies and (30 – x) pounds of 50-cent cookies. (A) 150 + 10x (B) 150 – 50x (C) 1500 – 10x (D) 1500 – 50x (E) 1500 + 10x How many pounds of nuts selling for 70 cents a pound must be mixed with 30 pounds of nuts selling at 90 cents a pound to make a mixture that will sell for 85 cents a pound? (A) 7.5 (B) 10 (C) 22.5 (D) 40 (E) 12 A container holds 10 pints of a solution which is 20% acid. If 3 quarts of pure acid are added to the container, what percent of the resulting mixture is acid? (A) 5 (B) 10 (C) 20 (D) 50 1 (E) 33
3 4. A solution of 60 quarts of sugar and water is 20% sugar. How much water must be added to make a solution that is 5% sugar? (A) 180 qts. (B) 120 qts. (C) 100 qts. (D) 80 qts. (E) 20 qts. How much water must be evaporated from 240 pounds of a solution that is 3% alcohol to strengthen it to a solution that is 5% alcohol? (A) 120 lbs. (B) 96 lbs. (C) 100 lbs. (D) 84 lbs. (E) 140 lbs. 2. 5. 3. www.petersons.com 182 Chapter 12 7. MOTION PROBLEMS
The fundamental relationship in all motion problems is that rate times time is equal to distance. RATE · TIME = DISTANCE The problems at the level of this examination usually deal with a relationship between distances. Most motion problems fall into one of three categories. A. Motion in opposite directions This can occur when objects start at the same point and move apart, or when they start at a given distance apart and move toward each other. In either case, the distance covered by the first object plus the distance covered by the second is equal to the total distance covered. This can be shown in the following diagram. In either ca...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.
- Spring '10