Charlotte bought 66 notebooks and Reggie bought 78 notebooks. After Reggie used
35 times as many notebooks as Charlotte, he was left with thrice as many notebooks as Charlotte. How many notebooks did each of them have in the end?
- Charlotte
- Reggie
| |
Make p the same.
(1)x3 = (3) |
Charlotte
(1) |
Reggie
(2) |
| Before |
198 |
66 |
78 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
66 - 5 u = 1 p --- (1)
78 - 3 u =
3 p --- (2)
(1)
x3
198 - 15 u =
3 p --- (3)
(3) = (2)
78 - 3 u = 198 - 15 u
15 u - 3 u = 198 - 78
12 u = 120
1 u = 120 ÷ 12 = 10
Number of notebooks that Charlotte had in the end
= 66 - 5 u
= 66 - 5 x 10
= 66 - 50
= 16
(b)
1 p = 16
Number of notebooks that Reggie had in the end
= 3 p
= 3 x 16
= 48
Answer(s): (a) 16; (b) 48
