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. What fraction of his money did each charity receive? If he donated $60 to each charity, how much money did he receive for his birthday?

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15-08-2017
Mathematics

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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. What fraction of his money did each charity receive? If he donated $60 to each charity, how much money did he receive for his birthday?

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eco92 eco92 · Answer 1 · 2017-08-21T13:30:50+02:00

Let the amount of money be M,

then Mr.Scruggs spent 1/5M on dog treats, and so 4/5M was left.

4/5M was equally divided in 3 parts among his favourite charities, so each of these received:
[tex] \frac{ \frac{4}{5}M }{3}=\frac{4}{5}M* \frac{1}{3}=\frac{4}{15}M[/tex]

i) each charity received 4/15 of the money.

ii)
[tex]\frac{4}{15}M=$60[/tex]

4M=15*60
M=15*15

M= 225 (dollars).

Check: 4/5(225)=4*45=180, 180/3=60