Aubrey bought 54 notebooks and Will bought 90 notebooks. After Will used
37 times as many notebooks as Aubrey, he was left with thrice as many notebooks as Aubrey. How many notebooks did each of them have in the end?
- Aubrey
- Will
| |
Make p the same.
(1)x3 = (3) |
Aubrey
(1) |
Will
(2) |
| Before |
162 |
54 |
90 |
| Change |
- 21 u |
- 7 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
54 - 7 u = 1 p --- (1)
90 - 3 u =
3 p --- (2)
(1)
x3
162 - 21 u =
3 p --- (3)
(3) = (2)
90 - 3 u = 162 - 21 u
21 u - 3 u = 162 - 90
18 u = 72
1 u = 72 ÷ 18 = 4
Number of notebooks that Aubrey had in the end
= 54 - 7 u
= 54 - 7 x 4
= 54 - 28
= 26
(b)
1 p = 26
Number of notebooks that Will had in the end
= 3 p
= 3 x 26
= 78
Answer(s): (a) 26; (b) 78
