Ethan and Justin had 30 markers together. Ethan had 8 more markers than Justin. Both of them sold some of their markers. Justin sold 40% less markers than what Ethan sold. In the end, Justin had half as many markers left as Ethan. How many markers had Ethan left?
| |
Ethan
(1) |
Justin
(2) |
Make p the same
(2)x2 = (3) |
Comparing Ethan
and Justin at first |
8 more |
|
|
| Before |
19 |
11 |
22 |
| Change |
- 5 u |
- 3 u |
- 6 u |
| After |
2 p |
1 p |
2 p |
Number of markers that Justin had at first
= (30 - 8) ÷ 2
= 22 ÷ 2
= 11
Number of markers that Ethan had at first
= 11 + 8
= 19
Number of markers that Justin sold in percent
= 100% - 40%
= 60%
60% =
60100 =
35 Make p the same.
(1) = (3)
19 - 5 u = 22 - 6 u
6 u - 5 u = 22 - 19
1 u = 3
1 u = 3 ÷ 1 = 3
Number of markers that Ethan had left
= 19 - 5 u
= 19 - 5 x 3
= 19 - 15
= 4
Answer(s): 4
