Luke and Fabian had 128 markers together. Luke had 24 more markers than Fabian. Both of them sold some of their markers. Fabian sold 30% less markers than what Luke sold. In the end, Fabian had half as many markers left as Luke. How many markers had Luke left?
| |
Luke
(1) |
Fabian
(2) |
Make p the same
(2)x2 = (3) |
Comparing Luke
and Fabian at first |
24 more |
|
|
| Before |
76 |
52 |
104 |
| Change |
- 10 u |
- 7 u |
- 14 u |
| After |
2 p |
1 p |
2 p |
Number of markers that Fabian had at first
= (128 - 24) ÷ 2
= 104 ÷ 2
= 52
Number of markers that Luke had at first
= 52 + 24
= 76
Number of markers that Fabian sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
76 - 10 u = 104 - 14 u
14 u - 10 u = 104 - 76
4 u = 28
1 u = 28 ÷ 4 = 7
Number of markers that Luke had left
= 76 - 10 u
= 76 - 10 x 7
= 76 - 70
= 6
Answer(s): 6
