Emily had $320 more than Barbara. Emily gave
35 of her money to Barbara. Barbara then gave 25% of her money to Emily. In the end, Barbara had $202 more than Emily. How much did Emily have at first?
| |
Emily |
Barbara |
Comparing Emily
and Barbara at first |
320 more |
|
| Before |
5 u |
+ 320 |
5 u |
|
| Change 1 |
- 3 u |
- 192 |
+ 3 u |
+ 192 |
| After 1 |
2 u |
+ 128 |
8 u |
+ 192 |
| Change 2 |
+ 2 u |
+ 48 |
- 2 u |
- 48 |
| After 2 |
4 u |
+ 176 |
6 u |
+ 144 |
35 x 320= 192
320 - 192 = 128
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 192
=
25100 x 192
= 48
192 - 48 = 144
128 + 48 = 176
If Emily received another $202 in the end, Emily and Barbara would have the same amount of money.
6 u + 144 = 4 u + 176 + 202
6 u - 4 u = 176 + 202 - 144
2 u = 234
1 u = 234 ÷ 2 = 117
Amount that Emily had at first
= 5 u + 320
= 5 x 117 + 320
= 585 + 320
= $905
Answer(s): $905
