Gillian had $160 more than Victoria. Gillian gave
35 of her money to Victoria. Victoria then gave 25% of her money to Gillian. In the end, Gillian had $222 less than Victoria. How much did Gillian have at first?
| |
Gillian |
Victoria |
| Comparing Gillian and Victoria at first |
160 more |
|
| Before |
5 u |
+ 160 |
5 u |
|
| Change 1 |
- 3 u |
- 96 |
+ 3 u |
+ 96 |
| After 1 |
2 u |
+ 64 |
8 u |
+ 96 |
| Change 2 |
+ 2 u |
+ 24 |
- 2 u |
- 24 |
| After 2 |
4 u |
+ 88 |
6 u |
+ 72 |
35 x 160= 96
160 - 96 = 64
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 96
=
25100 x 96
= 24
96 - 24 = 72
64 + 24 = 88
If Gillian received another $222 in the end, Gillian and Victoria would have the same amount of money.
6 u + 72 = 4 u + 88 + 222
6 u - 4 u = 88 + 222 - 72
2 u = 238
1 u = 238 ÷ 2 = 119
Amount that Gillian had at first
= 5 u + 160
= 5 x 119 + 160
= 595 + 160
= $755
Answer(s): $755
