Answer: Fraction of money each charity received [tex]=\dfrac{4}{15}[/tex]
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 =[tex]\dfrac{x}{5}[/tex]
Remaining money = [tex]x-\dfrac{x}{5}=\dfrac{5x-x}{5}=\dfrac{4x}{5}[/tex]
Since he divided the he divided the remainder equally among his 3 favorite charities.
⇒ Money each charity received = [tex]\dfrac{4}{5}\div 3[/tex]
[tex]=\dfrac{4x}{5}\times\dfrac{1}{3}=\dfrac{4x}{15}[/tex]
∴ Fraction of money each charity received [tex]=\dfrac{4}{15}[/tex]
If he donated $60 to each charity , then
[tex]\Rightarrow\ \dfrac{4x}{15}=60\\\\\Rightarrow\ x=\dfrac{60\times15}{4}=15\times15=225[/tex]
∴ He received $225 for his birthday.
