Bryan bought 29 pens and George bought 48 pens. After George used
35 times as many pens as Bryan, he was left with four times as many pens as Bryan. How many pens did each of them have in the end?
- Bryan
- George
| |
Make p the same.
(1)x4 = (3) |
Bryan
(1) |
George
(2) |
| Before |
116 |
29 |
48 |
| Change |
- 20 u |
- 5 u |
- 3 u |
| After |
4 p |
1 p |
4 p |
(a)
29 - 5 u = 1 p --- (1)
48 - 3 u =
4 p --- (2)
(1)
x4
116 - 20 u =
4 p --- (3)
(3) = (2)
48 - 3 u = 116 - 20 u
20 u - 3 u = 116 - 48
17 u = 68
1 u = 68 ÷ 17 = 4
Number of pens that Bryan had in the end
= 29 - 5 u
= 29 - 5 x 4
= 29 - 20
= 9
(b)
1 p = 9
Number of pens that George had in the end
= 4 p
= 4 x 9
= 36
Answer(s): (a) 9; (b) 36
