Mr Scruggs got some $ for his b day. He spend 1/5 of it on dog treats. Then he divided the remainder between his 3 favorite charities. a. What fraction of his $ did each charity receive? b. If he donated $60 to each how much did he get for his b day?

Respuesta :

200$

60$ x 3 = 180$

180$ + 1/5 (100/5=20.....180=20)

200$

Answer:

Mr Scruggs received $900 for his birthday.

Step-by-step explanation:

1. Let´s name x the money Mr Scruggs received for his birthday:

x = money received by Mr Scruggs

2. He spent [tex]\frac{1}{5}[/tex] of x on dog treats, that is:

[tex]x*\frac{1}{5}=\frac{x}{5}[/tex] spent on dog treats. (Eq.1)

3. He divided the remainder between his 3 favorite charities, that is:

[tex]\frac{(\frac{x}{5})}{3}=\frac{x}{15}[/tex] for each carity. (Eq.2)

4. If he donated $60 to each charity, we have to replace this value on Eq.2:

[tex]\frac{x}{15}=60[/tex]

Solving for x:

[tex]x=15*60[/tex]

x = $900

There fore Mr Scruggs received $900 for his birthday.

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