Abigail bought 62 staplers and George bought 88 staplers. After George used
27 times as many staplers as Abigail, he was left with twice as many staplers as Abigail. How many staplers did each of them have in the end?
- Abigail
- George
| |
Make p the same.
(1)x2 = (3) |
Abigail
(1) |
George
(2) |
| Before |
124 |
62 |
88 |
| Change |
- 14 u |
- 7 u |
- 2 u |
| After |
2 p |
1 p |
2 p |
(a)
62 - 7 u = 1 p --- (1)
88 - 2 u =
2 p --- (2)
(1)
x2
124 - 14 u =
2 p --- (3)
(3) = (2)
88 - 2 u = 124 - 14 u
14 u - 2 u = 124 - 88
12 u = 36
1 u = 36 ÷ 12 = 3
Number of staplers that Abigail had in the end
= 62 - 7 u
= 62 - 7 x 3
= 62 - 21
= 41
(b)
1 p = 41
Number of staplers that George had in the end
= 2 p
= 2 x 41
= 82
Answer(s): (a) 41; (b) 82
