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
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: Fraction of money each charity received \(=\dfrac{4}{15}\)
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 =@@MATH_TOKEN_1@@
Remaining money = @@MATH_TOKEN_2@@
Since he divided the he divided the remainder equally among his 3 favorite charities.
⇒ Money each charity received = @@MATH_TOKEN_3@@
@@MATH_TOKEN_4@@
∴ Fraction of money each charity received @@MATH_TOKEN_5@@
If he donated $60 to each charity , then
\(\Rightarrow\ \dfrac{4x}{15}=60\\\\\Rightarrow\ x=\dfrac{60\times15}{4}=15\times15=225\)
∴ He received $225 for his birthday.