Question

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

after mom's gift
Karen --- 2x
Peter ---- 5x+75

2x/(5x+75) = 4/15
30x = 20x + 300
10x = 300
x = 30

Karen had 60
peter had 150

check:
Karen still has 60 , Peter has 225

60:225 = 4:15
Is 1 unit 15?

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