Tina and Xylia had equal amount of money. Each day, Tina spent $7 and Xylia spent $17. When Tina had $100 left, Xylia had
12 as much money left as Tina. How much money did the two girls have at first?
| |
Tina |
Xylia |
| Before |
7 u + 100 |
17 u + 50 |
| Change |
- 7 u |
- 17 u |
| After |
$100 |
$50 |
Amount that Xylia had left
=
12 x 100
= $50
The amount that Tina and Xylia had at first is the same.
17 u + 50 = 7 u + 100
17 u - 7 u = 100 - 50
10 u = 50
1 u = 50 ÷ 10 = 5
Amount that Tina had at first
= 7 u + 100
= 7 x 5 + 100
= 35 + 100
= $135
Total amount that both girls had at first
= 2 x 135
= $270
Answer(s): $270
