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?
STUCK ON HOMEWORK?
ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!
Question
Answer
siglapmath
alfretztay
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