Tammy and Rachel had equal amount of money. Each day, Tammy spent $11 and Rachel spent $17. When Tammy had $120 left, Rachel had
34 as much money left as Tammy. How much money did the two girls have at first?
| |
Tammy |
Rachel |
| Before |
11 u + 120 |
17 u + 90 |
| Change |
- 11 u |
- 17 u |
| After |
$120 |
$90 |
Amount that Rachel had left
=
34 x 120
= $90
The amount that Tammy and Rachel had at first is the same.
17 u + 90 = 11 u + 120
17 u - 11 u = 120 - 90
6 u = 30
1 u = 30 ÷ 6 = 5
Amount that Tammy had at first
= 11 u + 120
= 11 x 5 + 120
= 55 + 120
= $175
Total amount that both girls had at first
= 2 x 175
= $350
Answer(s): $350
