Maya bought 83 staplers and Owen bought 93 staplers. After Owen used
25 times as many staplers as Maya, he was left with thrice as many staplers as Maya. How many staplers did each of them have in the end?
- Maya
- Owen
| |
Make p the same.
(1)x3 = (3) |
Maya
(1) |
Owen
(2) |
| Before |
249 |
83 |
93 |
| Change |
- 15 u |
- 5 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
83 - 5 u = 1 p --- (1)
93 - 2 u =
3 p --- (2)
(1)
x3
249 - 15 u =
3 p --- (3)
(3) = (2)
93 - 2 u = 249 - 15 u
15 u - 2 u = 249 - 93
13 u = 156
1 u = 156 ÷ 13 = 12
Number of staplers that Maya had in the end
= 83 - 5 u
= 83 - 5 x 12
= 83 - 60
= 23
(b)
1 p = 23
Number of staplers that Owen had in the end
= 3 p
= 3 x 23
= 69
Answer(s): (a) 23; (b) 69
