Audrey bought 42 markers and Jack bought 60 markers. After Jack used
25 times as many markers as Audrey, he was left with twice as many markers as Audrey. How many markers did each of them have in the end?
- Audrey
- Jack
| |
Make p the same.
(1)x2 = (3) |
Audrey
(1) |
Jack
(2) |
| Before |
84 |
42 |
60 |
| Change |
- 10 u |
- 5 u |
- 2 u |
| After |
2 p |
1 p |
2 p |
(a)
42 - 5 u = 1 p --- (1)
60 - 2 u =
2 p --- (2)
(1)
x2
84 - 10 u =
2 p --- (3)
(3) = (2)
60 - 2 u = 84 - 10 u
10 u - 2 u = 84 - 60
8 u = 24
1 u = 24 ÷ 8 = 3
Number of markers that Audrey had in the end
= 42 - 5 u
= 42 - 5 x 3
= 42 - 15
= 27
(b)
1 p = 27
Number of markers that Jack had in the end
= 2 p
= 2 x 27
= 54
Answer(s): (a) 27; (b) 54
