Elizabeth bought 28 staplers and Rael bought 44 staplers. After Rael used
37 times as many staplers as Elizabeth, he was left with five times as many staplers as Elizabeth. How many staplers did each of them have in the end?
- Elizabeth
- Rael
| |
Make p the same.
(1)x5 = (3) |
Elizabeth
(1) |
Rael
(2) |
| Before |
140 |
28 |
44 |
| Change |
- 35 u |
- 7 u |
- 3 u |
| After |
5 p |
1 p |
5 p |
(a)
28 - 7 u = 1 p --- (1)
44 - 3 u =
5 p --- (2)
(1)
x5
140 - 35 u =
5 p --- (3)
(3) = (2)
44 - 3 u = 140 - 35 u
35 u - 3 u = 140 - 44
32 u = 96
1 u = 96 ÷ 32 = 3
Number of staplers that Elizabeth had in the end
= 28 - 7 u
= 28 - 7 x 3
= 28 - 21
= 7
(b)
1 p = 7
Number of staplers that Rael had in the end
= 5 p
= 5 x 7
= 35
Answer(s): (a) 7; (b) 35
