Reggie had 140 more stamps than Cody. Reggie gave 20% of his stamps to Cody. Cody in return gave 50% of his stamps to Reggie. In the end, Reggie had 552 more stamps than Cody. How many stamps did Reggie have at first?
| |
Reggie |
Cody |
Comparing Reggie
and Peter at first |
140 more |
|
| Before |
5 u + 140 |
5 u |
| Change 1 |
- 1 u - 28 |
+ 1 u + 28 |
| After 1 |
4 u + 112 |
6 u + 28 |
| Change 2 |
+ 3 u + 14 |
- 3 u - 14 |
| After 2 |
7 u + 126 |
3 u + 14 |
20% =
20100 =
1520% x 140
=
20100 x 140
= 28
50% x 28
=
50100 x 28
= 14
50% x 6 u
=
50100 x 6 u
= 3 u
Reggie had 552 more stamps than Cody in the end. If another 552 stamps are given to Cody, both will have the same number of stamps.
7 u + 126 = 3 u + 14 + 552
7 u - 3 u = 14 + 552 - 126
11 u = 440
1 u = 440 ÷ 11 = 40
Number of Reggie's stamps at first
= 5 u + 140
= 5 x 40 + 140
= 200 + 140
= 340
Answer: 340
