Abigail bought 70 notebooks and Paul bought 97 notebooks. After Paul used
25 times as many notebooks as Abigail, he was left with five times as many notebooks as Abigail. How many notebooks did each of them have in the end?
- Abigail
- Paul
| |
Make p the same.
(1)x5 = (3) |
Abigail
(1) |
Paul
(2) |
| Before |
350 |
70 |
97 |
| Change |
- 25 u |
- 5 u |
- 2 u |
| After |
5 p |
1 p |
5 p |
(a)
70 - 5 u = 1 p --- (1)
97 - 2 u =
5 p --- (2)
(1)
x5
350 - 25 u =
5 p --- (3)
(3) = (2)
97 - 2 u = 350 - 25 u
25 u - 2 u = 350 - 97
23 u = 253
1 u = 253 ÷ 23 = 11
Number of notebooks that Abigail had in the end
= 70 - 5 u
= 70 - 5 x 11
= 70 - 55
= 15
(b)
1 p = 15
Number of notebooks that Paul had in the end
= 5 p
= 5 x 15
= 75
Answer(s): (a) 15; (b) 75
