Abigail bought 41 staplers and Owen bought 51 staplers. After Owen used
35 times as many staplers as Abigail, he was left with five times as many staplers as Abigail. How many staplers did each of them have in the end?
- Abigail
- Owen
| |
Make p the same.
(1)x5 = (3) |
Abigail
(1) |
Owen
(2) |
| Before |
205 |
41 |
51 |
| Change |
- 25 u |
- 5 u |
- 3 u |
| After |
5 p |
1 p |
5 p |
(a)
41 - 5 u = 1 p --- (1)
51 - 3 u =
5 p --- (2)
(1)
x5
205 - 25 u =
5 p --- (3)
(3) = (2)
51 - 3 u = 205 - 25 u
25 u - 3 u = 205 - 51
22 u = 154
1 u = 154 ÷ 22 = 7
Number of staplers that Abigail had in the end
= 41 - 5 u
= 41 - 5 x 7
= 41 - 35
= 6
(b)
1 p = 6
Number of staplers that Owen had in the end
= 5 p
= 5 x 6
= 30
Answer(s): (a) 6; (b) 30
