Elijah had 100 more stamps than Xavier. Elijah gave 20% of his stamps to Xavier. Xavier in return gave 50% of his stamps to Elijah. In the end, Xavier had 290 less stamps than Elijah. How many stamps did Elijah have at first?
| |
Elijah |
Xavier |
Comparing Elijah
and Peter at first |
100 more |
|
| Before |
5 u + 100 |
5 u |
| Change 1 |
- 1 u - 20 |
+ 1 u + 20 |
| After 1 |
4 u + 80 |
6 u + 20 |
| Change 2 |
+ 3 u + 10 |
- 3 u - 10 |
| After 2 |
7 u + 90 |
3 u + 10 |
20% =
20100 =
1520% x 100
=
20100 x 100
= 20
50% x 20
=
50100 x 20
= 10
50% x 6 u
=
50100 x 6 u
= 3 u
Xavier had 290 less stamps than Elijah in the end. If another 290 stamps are given to Xavier, both will have the same number of stamps.
7 u + 90 = 3 u + 10 + 290
7 u - 3 u = 10 + 290 - 90
4 u = 210
1 u = 210 ÷ 4 = 30
Number of Xavier's stamps at first
= 5 u
= 5 x 30
= 150
Answer: 150
