Samantha bought 49 notebooks and Sean bought 95 notebooks. After Sean used
25 times as many notebooks as Samantha, he was left with thrice as many notebooks as Samantha. How many notebooks did each of them have in the end?
- Samantha
- Sean
| |
Make p the same.
(1)x3 = (3) |
Samantha
(1) |
Sean
(2) |
| Before |
147 |
49 |
95 |
| Change |
- 15 u |
- 5 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
49 - 5 u = 1 p --- (1)
95 - 2 u =
3 p --- (2)
(1)
x3
147 - 15 u =
3 p --- (3)
(3) = (2)
95 - 2 u = 147 - 15 u
15 u - 2 u = 147 - 95
13 u = 52
1 u = 52 ÷ 13 = 4
Number of notebooks that Samantha had in the end
= 49 - 5 u
= 49 - 5 x 4
= 49 - 20
= 29
(b)
1 p = 29
Number of notebooks that Sean had in the end
= 3 p
= 3 x 29
= 87
Answer(s): (a) 29; (b) 87
