Linda had $500 more than Tammy. Linda gave
35 of her money to Tammy. Tammy then gave 25% of her money to Linda. In the end, Tammy had $162 more than Linda. How much did Linda have at first?
| |
Linda |
Tammy |
Comparing Linda
and Tammy at first |
500 more |
|
| Before |
5 u |
+ 500 |
5 u |
|
| Change 1 |
- 3 u |
- 300 |
+ 3 u |
+ 300 |
| After 1 |
2 u |
+ 200 |
8 u |
+ 300 |
| Change 2 |
+ 2 u |
+ 75 |
- 2 u |
- 75 |
| After 2 |
4 u |
+ 275 |
6 u |
+ 225 |
35 x 500= 300
500 - 300 = 200
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 300
=
25100 x 300
= 75
300 - 75 = 225
200 + 75 = 275
If Linda received another $162 in the end, Linda and Tammy would have the same amount of money.
6 u + 225 = 4 u + 275 + 162
6 u - 4 u = 275 + 162 - 225
2 u = 212
1 u = 212 ÷ 2 = 106
Amount that Linda had at first
= 5 u + 500
= 5 x 106 + 500
= 530 + 500
= $1030
Answer(s): $1030
