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

a.
`(4a)/(15)`

b. $225

Explanation:

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

He spent
`(1)/(5)` of it on dog treats = a ×
`(1)/(5)`

=
`(1)/(5)a`

remainder amount would be = a -
`(1)/(5)a`

=
`(4a)/(5)`

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

`((4a)/(5))/(3)`

=
`(4a)/(15)`

a. Each charity receive
`(4a)/(15)`

b. If he donated $60 to each charity.

`(4a)/(15)=60`

`a=(15* 60)/(4)`

a = $225

Mr. Scruggs received $225 for his birthday.