# Three Algebra Word Problems on Simultaneous Linear Equations

1. At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine?

2. Ziggy's Famous Yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain lowfat yogurt that is 1% fat. How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pounds of low-fat yogurt?

3. The probability that San Francisco plays in the next Super Bowl is nine times the probability that they do not play in the next Super Bowl. The probability that San Francisco plays in the next Super Bowl plus the probability that they do not play is 1. What is the probability that San Francisco plays in the next Super Bowl?

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#### Solution Preview

72. Let the price of a book be x and the price of a magazine be y.

Then according to Harriet, 4x+3y =1.45 [1]

And, according to June, 2x+5y = ...

#### Solution Summary

This solution sets up and solves the three word problems using systems of equations.