Kaylee bought 45 notebooks and Bryan bought 57 notebooks. After Bryan used
37 times as many notebooks as Kaylee, he was left with twice as many notebooks as Kaylee. How many notebooks did each of them have in the end?
- Kaylee
- Bryan
| |
Make p the same.
(1)x2 = (3) |
Kaylee
(1) |
Bryan
(2) |
| Before |
90 |
45 |
57 |
| Change |
- 14 u |
- 7 u |
- 3 u |
| After |
2 p |
1 p |
2 p |
(a)
45 - 7 u = 1 p --- (1)
57 - 3 u =
2 p --- (2)
(1)
x2
90 - 14 u =
2 p --- (3)
(3) = (2)
57 - 3 u = 90 - 14 u
14 u - 3 u = 90 - 57
11 u = 33
1 u = 33 ÷ 11 = 3
Number of notebooks that Kaylee had in the end
= 45 - 7 u
= 45 - 7 x 3
= 45 - 21
= 24
(b)
1 p = 24
Number of notebooks that Bryan had in the end
= 2 p
= 2 x 24
= 48
Answer(s): (a) 24; (b) 48
