Japheth and Archie had 118 markers together. Japheth had 26 more markers than Archie. Both of them sold some of their markers. Archie sold 30% less markers than what Japheth sold. In the end, Archie had half as many markers left as Japheth. How many markers had Japheth left?
| |
Japheth
(1) |
Archie
(2) |
Make p the same
(2)x2 = (3) |
Comparing Japheth
and Archie at first |
26 more |
|
|
| Before |
72 |
46 |
92 |
| Change |
- 10 u |
- 7 u |
- 14 u |
| After |
2 p |
1 p |
2 p |
Number of markers that Archie had at first
= (118 - 26) ÷ 2
= 92 ÷ 2
= 46
Number of markers that Japheth had at first
= 46 + 26
= 72
Number of markers that Archie sold in percent
= 100% - 30%
= 70%
70% =
70100 =
710 Make p the same.
(1) = (3)
72 - 10 u = 92 - 14 u
14 u - 10 u = 92 - 72
4 u = 20
1 u = 20 ÷ 4 = 5
Number of markers that Japheth had left
= 72 - 10 u
= 72 - 10 x 5
= 72 - 50
= 22
Answer(s): 22
