Question

Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then, he divided the remainder equally among his 3 favorite charities.
a. What fraction of his money did each charity receive?
b. If he donated $60 to each charity, how much money did he receive for his birthday?

Answer 1

Answer:

a. $\frac{4a}{15}$

b. $225

Step-by-step explanation:

Let Mr. Scruggs got money for his birthday be 'a'

He spent $\frac{1}{5}$ of it on dog treats = a × $\frac{1}{5}$

                                                                      = $\frac{1}{5}a$

remainder amount would be = a - $\frac{1}{5}a$

                                                = $\frac{4a}{5}$

Then he divided the remainder money equally among 3 favorite charities.

$\frac{\frac{4a}{5}}{3}$

= $\frac{4a}{15}$

a. Each charity receive $\frac{4a}{15}$

b. If he donated $60 to each charity.

$\frac{4a}{15}=60$

$a=\frac{15\times 60}{4}$

a = $225

Mr. Scruggs received $225 for his birthday.