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algol [13]
3 years ago
5

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?
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

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 \frac{x}{y}=\frac{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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