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

Answer:a. [tex]\frac{4a}{15}[/tex]b. $225Step-by-step explanation:Let Mr. Scruggs got money for his birthday be 'a'He spent [tex]\frac{1}{5}[/tex] of it on dog treats = a × [tex]\frac{1}{5}[/tex]                                                                       = [tex]\frac{1}{5}a[/tex]remainder amount would be = a - [tex]\frac{1}{5}a[/tex]                                                 = [tex]\frac{4a}{5}[/tex]Then he divided the remainder money equally among 3 favorite charities.[tex]\frac{\frac{4a}{5}}{3}[/tex]= [tex]\frac{4a}{15}[/tex]a. Each charity receive [tex]\frac{4a}{15}[/tex] b. If he donated $60 to each charity.[tex]\frac{4a}{15}=60[/tex][tex]a=\frac{15\times 60}{4}[/tex]a = $225Mr. Scruggs received $225 for his birthday.