At first, Ben had $90 and Chandra had $48. Each bought a shirt at the same price. The amounts of money Ben and Chandra had left were in the ratio 4:1. How much did the shirt cost?
Question
At first, Ben had 48. Each bought a shirt at the same price. The amounts of money Ben and Chandra had left were in the ratio 4:1. How much did the shirt cost?
Solution
Step 1: Let's denote the cost of the shirt as "x".
Step 2: After buying the shirt, Ben has 48 - x left.
Step 3: According to the problem, the ratio of the amount of money Ben has to the amount Chandra has is 4:1. So, we can write the equation as follows:
(90 - x) / (48 - x) = 4 / 1
Step 4: Cross-multiply to solve the equation:
4 * (48 - x) = 1 * (90 - x)
192 - 4x = 90 - x
Step 5: Simplify the equation:
3x = 102
Step 6: Solve for x:
x = 102 / 3
x = $34
So, the shirt cost $34.
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