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The ratio of the amount of money Karen had to the amount of money Peter had was 2 : 5. After Peter received $75 from his mother, the ratio of the amount of money Karen had to the amount of money Peter had became 4 : 15. How much money did each person have at first?

Respuesta :

Answer:

$60 and $150

Step-by-step explanation:

Initially

Karen : Peter = 2 : 5

After Peter receiving $75 the ratio is

4 : 15

We can suppose that initally the amount of monye Karen has is 2x and Peter is 5x.

The new ratio is

2x :  (5x +75)  = 4 :15

2x (15)= 4 (5x +75)

30 x = 20 x + 300

10 x = 300

x = 30

So at first Karen has 2x =60 dollars while Peter has 5x = 5(3) = 150 dollars.

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