Emma and Esther had equal amount of money. Each day, Emma spent $20 and Esther spent $27. When Emma had $105 left, Esther had
45 as much money left as Emma. How much money did the two girls have at first?
| |
Emma |
Esther |
| Before |
20 u + 105 |
27 u + 84 |
| Change |
- 20 u |
- 27 u |
| After |
$105 |
$84 |
Amount that Esther had left
=
45 x 105
= $84
The amount that Emma and Esther had at first is the same.
27 u + 84 = 20 u + 105
27 u - 20 u = 105 - 84
7 u = 21
1 u = 21 ÷ 7 = 3
Amount that Emma had at first
= 20 u + 105
= 20 x 3 + 105
= 60 + 105
= $165
Total amount that both girls had at first
= 2 x 165
= $330
Answer(s): $330
