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Question

Ann spent 1/3 of her money on 5 pencils and 6 files and 3/4 of her remaining money on 36 erasers. A pencil cost 2/5 as much as a file. Each eraser cost $0.15 less than each pencil. What was the cost of a file?

Answer

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3 x 4 = 12u

(1/3) x 12u = 4u (5 pencilsĀ + 6 files)

12u – 4u = 8u

(3/4) x 8u = 6u (36 erasers)

2 files ——- 5 pencils

6 files ——- 15 pencils

4u ——- 5 pencilsĀ + 6 files = (5 + 15 = 20) pencils

1u ——- 5 pencils

1 eraser ——- 1 pencil – 0.15

36 erasers ——- 36 pencils – 5.40

36 pencils – 5.40 ——- (6 x 5 = 30) pencils

(36 – 30 = 6) pencils ——- 5.40

1 pencil ——- 5.40/6 = 0.90

1 file ——- (0.90 x 5)/2 = 2.25

Ans : $2.25

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