Solve each problem. See the strategy for problem solving.
STRATEGY Problem Solving
1. Read the problem as many times as necessary to get an understanding of the problem.
2. If possible, draw a diagram to illustrate the problem.
3. Choose a variable, write down what it represents, and if possible, represent any other unknown quantities in terms of that variable.
4. Write an equation that models the situation. You may be able to use a known formula, or you may have to write an equation that models only that particular problem.
5. Solve the equation.
6. Check your answer by using it to solve the original problem (not just the equation).
7. Answer the question posed in the original problem.
Investment Income Tara paid one-half of her game-show winnings to the government for taxes. She invested one-third of her winnings in Jeff’s copy shop at 14% interest and one-sixth of her winnings in Kaiser’s German Bakery at 12% interest. If she earned a total of $4000 on the investments in one year, then how much did she win on the game show?
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