Problema 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 sums of money
Answer provided by our tutors
let x and y be the sums and x > y
x : y = 4 : 3
3x = 4y
if the larger sum of money is increased by $40, the ratio becomes 2:1
(x + 40) : y = 2 : 1
x + 40 = 2y
by solving the system of equations
3x = 4y
x + 40 = 2y
we find
x = $80
y = $60
the sums are $80 and $60.
let x and y be the sums and x > y
x : y = 4 : 3
3x = 4y
if the larger sum of money is increased by $40, the ratio becomes 2:1
(x + 40) : y = 2 : 1
x + 40 = 2y
by solving the system of equations
3x = 4y
x + 40 = 2y
we find
x = $80
y = $60
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the sums are $80 and $60.