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Algebra Word Problems

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

An investment of $1500 paid interest of $45 during a certain period. how much interest would an investment of $2000 invest at the same length of time pay?

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 got to get in 400 times at bat?

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(1) one-third of a number is 5 less than half of the same number. What is the number?

Let's call the mystery number "x". If you write the statement above in math terms, you have

(1/3)x = (1/2)x - 5

Multiply the statement above by 6 to get rid of all the fractions.

(1/3)x = (1/2)x - 5

2x = 3x - 30

Subtract 2x ...

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