Scarlett bought 50 staplers and Mark bought 90 staplers. After Mark used
35 times as many staplers as Scarlett, he was left with thrice as many staplers as Scarlett. How many staplers did each of them have in the end?
- Scarlett
- Mark
| |
Make p the same.
(1)x3 = (3) |
Scarlett
(1) |
Mark
(2) |
| Before |
150 |
50 |
90 |
| Change |
- 15 u |
- 5 u |
- 3 u |
| After |
3 p |
1 p |
3 p |
(a)
50 - 5 u = 1 p --- (1)
90 - 3 u =
3 p --- (2)
(1)
x3
150 - 15 u =
3 p --- (3)
(3) = (2)
90 - 3 u = 150 - 15 u
15 u - 3 u = 150 - 90
12 u = 60
1 u = 60 ÷ 12 = 5
Number of staplers that Scarlett had in the end
= 50 - 5 u
= 50 - 5 x 5
= 50 - 25
= 25
(b)
1 p = 25
Number of staplers that Mark had in the end
= 3 p
= 3 x 25
= 75
Answer(s): (a) 25; (b) 75
