#### Answer

The child will receive 150,000 dollars.

#### Work Step by Step

Let X represent the amount the child will receive. Because there are 180,000 dollars to be divided, the local cancer fund will receive 180,000 - X dollars.
The ratio used to divide this amount between the child and the cancer fund is 5 to 1, or $\frac{5}{1}$.
Now, let’s set up a proportion with the ratio given and a ratio which compares the amount the child will receive to the amount the cancer fund will receive.
So, $\frac{5}{1}$ = $\frac{X}{180,000 - X}$
To solve this equation, we equate the cross products.
5 $\times$ (180,000 - X) = 1 $\times$ X
900,000 - 5X = X
900,000 = 6X
Divide both sides by 6.
X = 150,000
The child will receive 150,000 dollars.