Joelle had $100 more than Jean. Joelle gave
35 of her money to Jean. Jean then gave 25% of her money to Joelle. In the end, Jean had $218 more than Joelle. How much did Joelle have at first?
| |
Joelle |
Jean |
Comparing Joelle
and Jean at first |
100 more |
|
| Before |
5 u |
+ 100 |
5 u |
|
| Change 1 |
- 3 u |
- 60 |
+ 3 u |
+ 60 |
| After 1 |
2 u |
+ 40 |
8 u |
+ 60 |
| Change 2 |
+ 2 u |
+ 15 |
- 2 u |
- 15 |
| After 2 |
4 u |
+ 55 |
6 u |
+ 45 |
35 x 100= 60
100 - 60 = 40
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 60
=
25100 x 60
= 15
60 - 15 = 45
40 + 15 = 55
If Joelle received another $218 in the end, Joelle and Jean would have the same amount of money.
6 u + 45 = 4 u + 55 + 218
6 u - 4 u = 55 + 218 - 45
2 u = 228
1 u = 228 ÷ 2 = 114
Amount that Joelle had at first
= 5 u + 100
= 5 x 114 + 100
= 570 + 100
= $670
Answer(s): $670
