Valen had 120 more pens than Justin. Valen gave 25% of his pens to Justin. Justin in return gave 80% of his pens to Valen. In the end, Justin had 243 less pens than Valen. How many pens did Valen have at first?
| |
Valen |
Justin |
Comparing Valen
and Peter at first |
120 more |
|
| Before |
4 u + 120 |
4 u |
| Change 1 |
- 1 u - 30 |
+ 1 u + 30 |
| After 1 |
3 u + 90 |
5 u + 30 |
| Change 2 |
+ 4 u + 24 |
- 4 u - 24 |
| After 2 |
7 u + 114 |
1 u + 6 |
25% =
25100 =
1425% x 120
=
25100 x 120
= 30
80% x 30
=
80100 x 30
= 24
80% x 5 u
=
80100 x 5 u
= 4 u
Justin had 243 less pens than Valen in the end. If another 243 pens are given to Justin, both will have the same number of pens.
7 u + 114 = 1 u + 6 + 243
7 u - 1 u = 6 + 243 - 114
6 u = 135
1 u = 135 ÷ 6 = 27
Number of Justin's pens at first
= 4 u
= 4 x 27
= 108
Answer: 108
