Zoey bought 46 staplers and Ben bought 60 staplers. After Ben used
25 times as many staplers as Zoey, he was left with thrice as many staplers as Zoey. How many staplers did each of them have in the end?
- Zoey
- Ben
| |
Make p the same.
(1)x3 = (3) |
Zoey
(1) |
Ben
(2) |
| Before |
138 |
46 |
60 |
| Change |
- 15 u |
- 5 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
46 - 5 u = 1 p --- (1)
60 - 2 u =
3 p --- (2)
(1)
x3
138 - 15 u =
3 p --- (3)
(3) = (2)
60 - 2 u = 138 - 15 u
15 u - 2 u = 138 - 60
13 u = 78
1 u = 78 ÷ 13 = 6
Number of staplers that Zoey had in the end
= 46 - 5 u
= 46 - 5 x 6
= 46 - 30
= 16
(b)
1 p = 16
Number of staplers that Ben had in the end
= 3 p
= 3 x 16
= 48
Answer(s): (a) 16; (b) 48
