Zoe bought 42 markers and Vincent bought 64 markers. After Vincent used
27 times as many markers as Zoe, he was left with four times as many markers as Zoe. How many markers did each of them have in the end?
- Zoe
- Vincent
| |
Make p the same.
(1)x4 = (3) |
Zoe
(1) |
Vincent
(2) |
| Before |
168 |
42 |
64 |
| Change |
- 28 u |
- 7 u |
- 2 u |
| After |
4 p |
1 p |
4 p |
(a)
42 - 7 u = 1 p --- (1)
64 - 2 u =
4 p --- (2)
(1)
x4
168 - 28 u =
4 p --- (3)
(3) = (2)
64 - 2 u = 168 - 28 u
28 u - 2 u = 168 - 64
26 u = 104
1 u = 104 ÷ 26 = 4
Number of markers that Zoe had in the end
= 42 - 7 u
= 42 - 7 x 4
= 42 - 28
= 14
(b)
1 p = 14
Number of markers that Vincent had in the end
= 4 p
= 4 x 14
= 56
Answer(s): (a) 14; (b) 56
