Cathy had $220 more than Linda. Cathy gave
35 of her money to Linda. Linda then gave 25% of her money to Cathy. In the end, Linda had $152 more than Cathy. How much did Cathy have at first?
| |
Cathy |
Linda |
Comparing Cathy
and Linda at first |
220 more |
|
| Before |
5 u |
+ 220 |
5 u |
|
| Change 1 |
- 3 u |
- 132 |
+ 3 u |
+ 132 |
| After 1 |
2 u |
+ 88 |
8 u |
+ 132 |
| Change 2 |
+ 2 u |
+ 33 |
- 2 u |
- 33 |
| After 2 |
4 u |
+ 121 |
6 u |
+ 99 |
35 x 220= 132
220 - 132 = 88
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 132
=
25100 x 132
= 33
132 - 33 = 99
88 + 33 = 121
If Cathy received another $152 in the end, Cathy and Linda would have the same amount of money.
6 u + 99 = 4 u + 121 + 152
6 u - 4 u = 121 + 152 - 99
2 u = 174
1 u = 174 ÷ 2 = 87
Amount that Cathy had at first
= 5 u + 220
= 5 x 87 + 220
= 435 + 220
= $655
Answer(s): $655
