Tammy had $120 more than Yoko. Tammy gave
35 of her money to Yoko. Yoko then gave 25% of her money to Tammy. In the end, Tammy had $216 less than Yoko. How much did Tammy have at first?
| |
Tammy |
Yoko |
| Comparing Tammy and Yoko at first |
120 more |
|
| Before |
5 u |
+ 120 |
5 u |
|
| Change 1 |
- 3 u |
- 72 |
+ 3 u |
+ 72 |
| After 1 |
2 u |
+ 48 |
8 u |
+ 72 |
| Change 2 |
+ 2 u |
+ 18 |
- 2 u |
- 18 |
| After 2 |
4 u |
+ 66 |
6 u |
+ 54 |
35 x 120= 72
120 - 72 = 48
25% x 8 u
=
25100 x 8 u
= 2 u
25% x 72
=
25100 x 72
= 18
72 - 18 = 54
48 + 18 = 66
If Tammy received another $216 in the end, Tammy and Yoko would have the same amount of money.
6 u + 54 = 4 u + 66 + 216
6 u - 4 u = 66 + 216 - 54
2 u = 228
1 u = 228 ÷ 2 = 114
Amount that Tammy had at first
= 5 u + 120
= 5 x 114 + 120
= 570 + 120
= $690
Answer(s): $690
