Diana and Xuan had equal amount of money. Each day, Diana spent $19 and Xuan spent $21. When Diana had $84 left, Xuan had
16 as much money left as Diana. How much money did the two girls have at first?
| |
Diana |
Xuan |
| Before |
19 u + 84 |
21 u + 14 |
| Change |
- 19 u |
- 21 u |
| After |
$84 |
$14 |
Amount that Xuan had left
=
16 x 84
= $14
The amount that Diana and Xuan had at first is the same.
21 u + 14 = 19 u + 84
21 u - 19 u = 84 - 14
2 u = 70
1 u = 70 ÷ 2 = 35
Amount that Diana had at first
= 19 u + 84
= 19 x 35 + 84
= 665 + 84
= $749
Total amount that both girls had at first
= 2 x 749
= $1498
Answer(s): $1498
