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?
1 answer:
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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