Joshua bought 55 staplers and Dylan bought 95 staplers. After Dylan used
37 times as many staplers as Joshua, he was left with four times as many staplers as Joshua. How many staplers did each of them have in the end?
- Joshua
- Dylan
| |
Make p the same.
(1)x4 = (3) |
Joshua
(1) |
Dylan
(2) |
| Before |
220 |
55 |
95 |
| Change |
- 28 u |
- 7 u |
- 3 u |
| After |
4 p |
1 p |
4 p |
(a)
55 - 7 u = 1 p --- (1)
95 - 3 u =
4 p --- (2)
(1)
x4
220 - 28 u =
4 p --- (3)
(3) = (2)
95 - 3 u = 220 - 28 u
28 u - 3 u = 220 - 95
25 u = 125
1 u = 125 ÷ 25 = 5
Number of staplers that Joshua had in the end
= 55 - 7 u
= 55 - 7 x 5
= 55 - 35
= 20
(b)
1 p = 20
Number of staplers that Dylan had in the end
= 4 p
= 4 x 20
= 80
Answer(s): (a) 20; (b) 80
