Emily had $225 more than Jane. Emily gave
23 of her money to Jane. Jane then gave 20% of her money to Emily. In the end, Jane had $195 more than Emily. How much did Emily have at first?
| |
Emily |
Jane |
Comparing Emily
and Jane at first |
225 more |
|
| Before |
3 u |
+ 225 |
3 u |
|
| Change 1 |
- 2 u |
- 150 |
+ 2 u |
+ 150 |
| After 1 |
1 u |
+ 75 |
5 u |
+ 150 |
| Change 2 |
+ 1 u |
+ 30 |
- 1 u |
- 30 |
| After 2 |
2 u |
+ 105 |
4 u |
+ 120 |
23 x 225= 150
225 - 150 = 75
20% x 5 u
=
20100 x 5 u
= 1 u
20% x 150
=
20100 x 150
= 30
150 - 30 = 120
75 + 30 = 105
If Emily received another $195 in the end, Emily and Jane would have the same amount of money.
4 u + 120 = 2 u + 105 + 195
4 u - 2 u = 105 + 195 - 120
2 u = 180
1 u = 180 ÷ 2 = 90
Amount that Emily had at first
= 3 u + 225
= 3 x 90 + 225
= 270 + 225
= $495
Answer(s): $495
