Tim had 180 more pens than Zeph. Tim gave 25% of his pens to Zeph. Zeph in return gave 60% of his pens to Tim. In the end, Zeph had 464 less pens than Tim. How many pens did Tim have at first?
| |
Tim |
Zeph |
Comparing Tim
and Peter at first |
180 more |
|
| Before |
4 u + 180 |
4 u |
| Change 1 |
- 1 u - 45 |
+ 1 u + 45 |
| After 1 |
3 u + 135 |
5 u + 45 |
| Change 2 |
+ 3 u + 27 |
- 3 u - 27 |
| After 2 |
6 u + 162 |
2 u + 18 |
25% =
25100 =
1425% x 180
=
25100 x 180
= 45
60% x 45
=
60100 x 45
= 27
60% x 5 u
=
60100 x 5 u
= 3 u
Zeph had 464 less pens than Tim in the end. If another 464 pens are given to Zeph, both will have the same number of pens.
6 u + 162 = 2 u + 18 + 464
6 u - 2 u = 18 + 464 - 162
4 u = 320
1 u = 320 ÷ 4 = 20
Number of Zeph's pens at first
= 4 u
= 4 x 20
= 80
Answer: 80
