Joseph bought 42 pencils and Flynn bought 96 pencils. After Flynn used
25 times as many pencils as Joseph, he was left with four times as many pencils as Joseph. How many pencils did each of them have in the end?
- Joseph
- Flynn
| |
Make p the same.
(1)x4 = (3) |
Joseph
(1) |
Flynn
(2) |
| Before |
168 |
42 |
96 |
| Change |
- 20 u |
- 5 u |
- 2 u |
| After |
4 p |
1 p |
4 p |
(a)
42 - 5 u = 1 p --- (1)
96 - 2 u =
4 p --- (2)
(1)
x4
168 - 20 u =
4 p --- (3)
(3) = (2)
96 - 2 u = 168 - 20 u
20 u - 2 u = 168 - 96
18 u = 72
1 u = 72 ÷ 18 = 4
Number of pencils that Joseph had in the end
= 42 - 5 u
= 42 - 5 x 4
= 42 - 20
= 22
(b)
1 p = 22
Number of pencils that Flynn had in the end
= 4 p
= 4 x 22
= 88
Answer(s): (a) 22; (b) 88
