Perry had 160 more stamps than Neave. Perry gave 20% of his stamps to Neave. Neave in return gave 50% of his stamps to Perry. In the end, Perry had 570 more stamps than Neave. How many stamps did Perry have at first?
| |
Perry |
Neave |
Comparing Perry
and Peter at first |
160 more |
|
| Before |
5 u + 160 |
5 u |
| Change 1 |
- 1 u - 32 |
+ 1 u + 32 |
| After 1 |
4 u + 128 |
6 u + 32 |
| Change 2 |
+ 3 u + 16 |
- 3 u - 16 |
| After 2 |
7 u + 144 |
3 u + 16 |
20% =
20100 =
1520% x 160
=
20100 x 160
= 32
50% x 32
=
50100 x 32
= 16
50% x 6 u
=
50100 x 6 u
= 3 u
Perry had 570 more stamps than Neave in the end. If another 570 stamps are given to Neave, both will have the same number of stamps.
7 u + 144 = 3 u + 16 + 570
7 u - 3 u = 16 + 570 - 144
13 u = 442
1 u = 442 ÷ 13 = 34
Number of Perry's stamps at first
= 5 u + 160
= 5 x 34 + 160
= 170 + 160
= 330
Answer: 330
