Sophia bought 54 staplers and Albert bought 72 staplers. After Albert used
27 times as many staplers as Sophia, he was left with five times as many staplers as Sophia. How many staplers did each of them have in the end?
- Sophia
- Albert
| |
Make p the same.
(1)x5 = (3) |
Sophia
(1) |
Albert
(2) |
| Before |
270 |
54 |
72 |
| Change |
- 35 u |
- 7 u |
- 2 u |
| After |
5 p |
1 p |
5 p |
(a)
54 - 7 u = 1 p --- (1)
72 - 2 u =
5 p --- (2)
(1)
x5
270 - 35 u =
5 p --- (3)
(3) = (2)
72 - 2 u = 270 - 35 u
35 u - 2 u = 270 - 72
33 u = 198
1 u = 198 ÷ 33 = 6
Number of staplers that Sophia had in the end
= 54 - 7 u
= 54 - 7 x 6
= 54 - 42
= 12
(b)
1 p = 12
Number of staplers that Albert had in the end
= 5 p
= 5 x 12
= 60
Answer(s): (a) 12; (b) 60
