SOLUTION: The ratio of two sums of money is 4:3. If the larger sum of money is increased by 40$, the ratio becomes 2:1. Find the sum of the money.

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Question 205482: The ratio of two sums of money is 4:3. If the larger sum of money is increased by 40$, the ratio becomes 2:1. Find the sum of the money.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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The ratio of two sums of money is 4:3.
If the larger sum of money is increased by 40$, the ratio becomes 2:1.
Find the sum of the money.
:
Two sums of money:, x & y
"The ratio of two sums of money is 4:3."
x%2Fy = 4%2F3
Cross multiply
3x = 4y
x = 4%2F3y
:
" If the larger sum of money is increased by 40$, the ratio becomes 2:1."
%28%28x%2B40%29%29%2Fy = 2%2F1
Cross multiply
2y = (x+40)
:
Find the sum of the money.
Replace x with 4%2F3y in the above equation
2y = 4%2F3y + 40
multiply equation by 3 to get rid of the denominator
3(2y) = 3*4%2F3y + 3(40)
6y = 4y + 120
6y - 4y = 120
2y = 120
y = $60 is the smaller amt
:
find x
x = 4%2F3(60)
x = 4(20)
x = $80 is the larger amt