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Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. How many tokens does Riley have?

1 Answer

3 votes

Answer:

Riley has 72 tokens

Explanation:

System of Equations

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that


x+y=135

Solving for y


y=135-x

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as


\displaystyle (x)/(y)=(8)/(7)

Or equivalently


7x=8y

Replacing y from the first equation


7x=8(135-x)

Operating


7x=1080-8x

Simplifying


15x=1080


\boxed{x=72}

Riley has 72 tokens

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