Tammy had $100 more than Eva. Tammy gave
35 of her money to Eva. Eva then gave 25% of her money to Tammy. In the end, Eva had $196 more than Tammy. How much did Tammy have at first?
| |
Tammy |
Eva |
Comparing Tammy
and Eva at first |
100 more |
|
| Before |
5 u |
+ 100 |
5 u |
|
| Change 1 |
- 3 u |
- 60 |
+ 3 u |
+ 60 |
| After 1 |
2 u |
+ 40 |
8 u |
+ 60 |
| Change 2 |
+ 2 u |
+ 15 |
- 2 u |
- 15 |
| After 2 |
4 u |
+ 55 |
6 u |
+ 45 |
35 x 100= 60
100 - 60 = 40
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 60
=
25100 x 60
= 15
60 - 15 = 45
40 + 15 = 55
If Tammy received another $196 in the end, Tammy and Eva would have the same amount of money.
6 u + 45 = 4 u + 55 + 196
6 u - 4 u = 55 + 196 - 45
2 u = 206
1 u = 206 ÷ 2 = 103
Amount that Tammy had at first
= 5 u + 100
= 5 x 103 + 100
= 515 + 100
= $615
Answer(s): $615
