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# Fractions Word Problems

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A. One-Third of a number is 5 less than half of the same number. What is the number?

B. The sum of a number and its reciprocal is 10/3. What is the number?

C. An investment of \$1500 paid interest of \$45 during a certain period. How mush interest would and investment of \$2000 invested at the same rate for the same length of time pay?

D. In baseball a player's batting average is the ratio of hits to the number of times he or she has batted. Thus, if the player has an average of .300, it means he or she got 300 hits in 1000 at bats. In order to have an average of .300, how many hits would the batter have to get in 400 times at bat?

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#### Solution Preview

1) One-Third of a number is 5 less than half of the same number. What is the number?

Let the number be x
According to the question , x / 3 = ( x / 2 ) - 5

or x / 3 = ( x - 10 ) / 2

or 2x = 3x - 30 ( Cross multiplying )

or 2x - 3x = -30

or x = 30
So the number ...

#### Solution Summary

Fractions word problems are solved. The solution is detailed and well presented.

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