Joelle had $180 more than Gem. Joelle gave
23 of her money to Gem. Gem then gave 20% of her money to Joelle. In the end, Gem had $190 more than Joelle. How much did Joelle have at first?
| |
Joelle |
Gem |
Comparing Joelle
and Gem at first |
180 more |
|
| Before |
3 u |
+ 180 |
3 u |
|
| Change 1 |
- 2 u |
- 120 |
+ 2 u |
+ 120 |
| After 1 |
1 u |
+ 60 |
5 u |
+ 120 |
| Change 2 |
+ 1 u |
+ 24 |
- 1 u |
- 24 |
| After 2 |
2 u |
+ 84 |
4 u |
+ 96 |
23 x 180= 120
180 - 120 = 60
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 120
=
20100 x 120
= 24
120 - 24 = 96
60 + 24 = 84
If Joelle received another $190 in the end, Joelle and Gem would have the same amount of money.
4 u + 96 = 2 u + 84 + 190
4 u - 2 u = 84 + 190 - 96
2 u = 178
1 u = 178 ÷ 2 = 89
Amount that Joelle had at first
= 3 u + 180
= 3 x 89 + 180
= 267 + 180
= $447
Answer(s): $447
