Diana and Emma had equal amount of money. Each day, Diana spent $17 and Emma spent $26. When Diana had $84 left, Emma had
14 as much money left as Diana. How much money did the two girls have at first?
| |
Diana |
Emma |
| Before |
17 u + 84 |
26 u + 21 |
| Change |
- 17 u |
- 26 u |
| After |
$84 |
$21 |
Amount that Emma had left
=
14 x 84
= $21
The amount that Diana and Emma had at first is the same.
26 u + 21 = 17 u + 84
26 u - 17 u = 84 - 21
9 u = 63
1 u = 63 ÷ 9 = 7
Amount that Diana had at first
= 17 u + 84
= 17 x 7 + 84
= 119 + 84
= $203
Total amount that both girls had at first
= 2 x 203
= $406
Answer(s): $406
