Charlotte bought 52 staplers and Sean bought 62 staplers. After Sean used
35 times as many staplers as Charlotte, he was left with five times as many staplers as Charlotte. How many staplers did each of them have in the end?
- Charlotte
- Sean
| |
Make p the same.
(1)x5 = (3) |
Charlotte
(1) |
Sean
(2) |
| Before |
260 |
52 |
62 |
| Change |
- 25 u |
- 5 u |
- 3 u |
| After |
5 p |
1 p |
5 p |
(a)
52 - 5 u = 1 p --- (1)
62 - 3 u =
5 p --- (2)
(1)
x5
260 - 25 u =
5 p --- (3)
(3) = (2)
62 - 3 u = 260 - 25 u
25 u - 3 u = 260 - 62
22 u = 198
1 u = 198 ÷ 22 = 9
Number of staplers that Charlotte had in the end
= 52 - 5 u
= 52 - 5 x 9
= 52 - 45
= 7
(b)
1 p = 7
Number of staplers that Sean had in the end
= 5 p
= 5 x 7
= 35
Answer(s): (a) 7; (b) 35
