Eva and Ryan collect coins and pens. Ryan has 60 less coins than pens. Ryan has 5 times the number of coins Eva has, and Eva has 30% more pens than Ryan. After Eva gives Ryan all of her coins and Ryan gives Eva 60% of his pens, Ryan has 40 less pens than coins. Find the number of pens Eva has at first.
| Eva |
Ryan |
| Pens |
Coins |
Pens |
Coins |
| 6.5 u + 78 |
1 u |
5 u + 60 |
5 u |
| + 3 u + 36 |
- 1 u |
- 3 u - 36 |
+ 1 u |
| 9.5 u + 114 |
0 |
2 u + 24 |
6 u |
100%+ 30% = 130%
130% x 5 u
=
130100 x 5 u
= 6.5 u
130% x 60
=
130100 x 60
= 78
60% x 5 u
=
60100 x 5 u
= 3 u
60% x 60
=
60100 x 60
= 36
If another 40 pens are given to Ryan, he will have equal number of pens and coins in the end.
6 u = 2 u + 24 + 40
6 u - 2 u = 64
4 u = 64
1 u = 64 ÷ 4 = 16
Number of pens that Eva has at first
= 6.5 u + 78
= 6.5 x 16 + 78
= 104 + 78
= 182
Answer(s): 182 
