Mark and Fabian had 183 markers together. Mark had 13 more markers than Fabian. Both of them sold some of their markers. Fabian sold 10% less markers than what Mark sold. In the end, Fabian had half as many markers left as Mark. How many markers had Mark left?
| |
Mark
(1) |
Fabian
(2) |
Make p the same
(2)x2 = (3) |
Comparing Mark
and Fabian at first |
13 more |
|
|
| Before |
98 |
85 |
170 |
| Change |
- 10 u |
- 9 u |
- 18 u |
| After |
2 p |
1 p |
2 p |
Number of markers that Fabian had at first
= (183 - 13) ÷ 2
= 170 ÷ 2
= 85
Number of markers that Mark had at first
= 85 + 13
= 98
Number of markers that Fabian sold in percent
= 100% - 10%
= 90%
90% =
90100 =
910 Make p the same.
(1) = (3)
98 - 10 u = 170 - 18 u
18 u - 10 u = 170 - 98
8 u = 72
1 u = 72 ÷ 8 = 9
Number of markers that Mark had left
= 98 - 10 u
= 98 - 10 x 9
= 98 - 90
= 8
Answer(s): 8
