Answer
The amount of tips the busboy received is 25 dollars. The amount of tips the waiter received is 200 dollars.
Work Step by Step
Let x represent the amount of tips the busboy received. The waiter received 225 - x.
Now, let’s set up a proportion with the ratio given and a ratio which compares the corresponding amount of tips received.
$\frac{1}{8}$ = $\frac{x}{225 - x}$
To solve this equation, we equate the cross products.
1 $\times$ (225-x) = 8 $\times$ x
225 - x = 8x
225 = 9x
Divide both sides by 9.
25 = x
The amount of tips the busboy received is 25 dollars. The amount of tips the waiter received is 225 - 25 = 200 dollars.
