Question

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

Answer 1

200$

60$ x 3 = 180$

180$ + 1/5 (100/5=20.....180=20)

200$

Answer 2

Mr Scruggs received $900 for his birthday.

Explanation:

1. Let´s name x the money Mr Scruggs received for his birthday:

x = money received by Mr Scruggs

2. He spent
`(1)/(5)` of x on dog treats, that is:

`x*(1)/(5)=(x)/(5)` spent on dog treats. (Eq.1)

3. He divided the remainder between his 3 favorite charities, that is:

`(((x)/(5)))/(3)=(x)/(15)` for each carity. (Eq.2)

4. If he donated $60 to each charity, we have to replace this value on Eq.2:

`(x)/(15)=60`

Solving for x:

`x=15*60`

x = $900

There fore Mr Scruggs received $900 for his birthday.