Charlotte bought 43 notebooks and Tommy bought 97 notebooks. After Tommy used
37 times as many notebooks as Charlotte, he was left with four times as many notebooks as Charlotte. How many notebooks did each of them have in the end?
- Charlotte
- Tommy
| |
Make p the same.
(1)x4 = (3) |
Charlotte
(1) |
Tommy
(2) |
| Before |
172 |
43 |
97 |
| Change |
- 28 u |
- 7 u |
- 3 u |
| After |
4 p |
1 p |
4 p |
(a)
43 - 7 u = 1 p --- (1)
97 - 3 u =
4 p --- (2)
(1)
x4
172 - 28 u =
4 p --- (3)
(3) = (2)
97 - 3 u = 172 - 28 u
28 u - 3 u = 172 - 97
25 u = 75
1 u = 75 ÷ 25 = 3
Number of notebooks that Charlotte had in the end
= 43 - 7 u
= 43 - 7 x 3
= 43 - 21
= 22
(b)
1 p = 22
Number of notebooks that Tommy had in the end
= 4 p
= 4 x 22
= 88
Answer(s): (a) 22; (b) 88
