Mr. Scruggs got some money for his birthday. He spent 1/5 of it on dog treats. Then , he divided the 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

Answers

Answer 1

Answer: The remainder after dog treat is 4/5
On diving amongst 3 charities;
4/5÷3=4/15
4/15 is equivalent to 60
Then 15/15 will be equivalent 15*60/4
= 225 dollars

Answer 2

Answer:

Answer: Fraction of money each charity received $=(4)/(15)$

He received $225 for his birthday.

Step-by-step explanation:

Let x denotes the money Mr. Scruggs received for his birthday.

Given : He spent 1/5 of it on dog treats.

i.e. Money he spent on dog treats = $(x)/(5)$

Remaining money = $x-(x)/(5)=(5x-x)/(5)=(4x)/(5)$

Since he divided the he divided the remainder equally among his 3 favorite charities.

⇒ Money each charity received = $(4)/(5)/ 3$

$=(4x)/(5)*(1)/(3)=(4x)/(15)$

∴ Fraction of money each charity received $=(4)/(15)$

If he donated $60 to each charity , then

$\Rightarrow\ (4x)/(15)=60\n\n\Rightarrow\ x=(60*15)/(4)=15*15=225$

∴ He received $225 for his birthday.

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