Sebastian bought 71 notebooks and Oliver bought 76 notebooks. After Oliver used
37 times as many notebooks as Sebastian, he was left with twice as many notebooks as Sebastian. How many notebooks did each of them have in the end?
- Sebastian
- Oliver
| |
Make p the same.
(1)x2 = (3) |
Sebastian
(1) |
Oliver
(2) |
| Before |
142 |
71 |
76 |
| Change |
- 14 u |
- 7 u |
- 3 u |
| After |
2 p |
1 p |
2 p |
(a)
71 - 7 u = 1 p --- (1)
76 - 3 u =
2 p --- (2)
(1)
x2
142 - 14 u =
2 p --- (3)
(3) = (2)
76 - 3 u = 142 - 14 u
14 u - 3 u = 142 - 76
11 u = 66
1 u = 66 ÷ 11 = 6
Number of notebooks that Sebastian had in the end
= 71 - 7 u
= 71 - 7 x 6
= 71 - 42
= 29
(b)
1 p = 29
Number of notebooks that Oliver had in the end
= 2 p
= 2 x 29
= 58
Answer(s): (a) 29; (b) 58
