I
4. Set-up and solve using a variable.
Lily and Sara each had an equal amount of money at first. After
Lily spent $18 and Sara spent $25, the amount Lily had left was
equal to twice the amount that Sara had left. How much money
did each have at first?
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Answer:
Each of them had $32 at first.
Step-by-step explanation:
Let's assume at first Lily and Sara had $x each.
After spending $18, Lily had left = $(x - 18)
After spending $25, Sara had left = $(x - 25)
According to the problem:
x - 18 = 2(x - 25)
=> x - 18 = 2x - 50
=> x - 2x = 18 - 50
=> -x = -32
∴ x = 32
Each of them had $32 at first.
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