Julie had $320 more than Shannon. Julie gave
35 of her money to Shannon. Shannon then gave 25% of her money to Julie. In the end, Shannon had $174 more than Julie. How much did Julie have at first?
| |
Julie |
Shannon |
Comparing Julie
and Shannon 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 Julie received another $174 in the end, Julie and Shannon would have the same amount of money.
6 u + 144 = 4 u + 176 + 174
6 u - 4 u = 176 + 174 - 144
2 u = 206
1 u = 206 ÷ 2 = 103
Amount that Julie had at first
= 5 u + 320
= 5 x 103 + 320
= 515 + 320
= $835
Answer(s): $835
