Yoko and Sarah had equal amount of money. Each day, Yoko spent $6 and Sarah spent $9. When Yoko had $99 left, Sarah had
511 as much money left as Yoko. How much money did the two girls have at first?
| |
Yoko |
Sarah |
| Before |
6 u + 99 |
9 u + 45 |
| Change |
- 6 u |
- 9 u |
| After |
$99 |
$45 |
Amount that Sarah had left
=
511 x 99
= $45
The amount that Yoko and Sarah had at first is the same.
9 u + 45 = 6 u + 99
9 u - 6 u = 99 - 45
3 u = 54
1 u = 54 ÷ 3 = 18
Amount that Yoko had at first
= 6 u + 99
= 6 x 18 + 99
= 108 + 99
= $207
Total amount that both girls had at first
= 2 x 207
= $414
Answer(s): $414
