Marion had $500 more than Tina. Marion gave
35 of her money to Tina. Tina then gave 25% of her money to Marion. In the end, Tina had $120 more than Marion. How much did Marion have at first?
| |
Marion |
Tina |
Comparing Marion
and Tina 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 Marion received another $120 in the end, Marion and Tina would have the same amount of money.
6 u + 225 = 4 u + 275 + 120
6 u - 4 u = 275 + 120 - 225
2 u = 170
1 u = 170 ÷ 2 = 85
Amount that Marion had at first
= 5 u + 500
= 5 x 85 + 500
= 425 + 500
= $925
Answer(s): $925
