Lily bought 67 markers and Tommy bought 68 markers. After Tommy used
27 times as many markers as Lily, he was left with thrice as many markers as Lily. How many markers did each of them have in the end?
- Lily
- Tommy
| |
Make p the same.
(1)x3 = (3) |
Lily
(1) |
Tommy
(2) |
| Before |
201 |
67 |
68 |
| Change |
- 21 u |
- 7 u |
- 2 u |
| After |
3 p |
1 p |
3 p |
(a)
67 - 7 u = 1 p --- (1)
68 - 2 u =
3 p --- (2)
(1)
x3
201 - 21 u =
3 p --- (3)
(3) = (2)
68 - 2 u = 201 - 21 u
21 u - 2 u = 201 - 68
19 u = 133
1 u = 133 ÷ 19 = 7
Number of markers that Lily had in the end
= 67 - 7 u
= 67 - 7 x 7
= 67 - 49
= 18
(b)
1 p = 18
Number of markers that Tommy had in the end
= 3 p
= 3 x 18
= 54
Answer(s): (a) 18; (b) 54
