Marion and Diana had equal amount of money. Each day, Marion spent $20 and Diana spent $26. When Marion had $90 left, Diana had
13 as much money left as Marion. How much money did the two girls have at first?
| |
Marion |
Diana |
| Before |
20 u + 90 |
26 u + 30 |
| Change |
- 20 u |
- 26 u |
| After |
$90 |
$30 |
Amount that Diana had left
=
13 x 90
= $30
The amount that Marion and Diana had at first is the same.
26 u + 30 = 20 u + 90
26 u - 20 u = 90 - 30
6 u = 60
1 u = 60 ÷ 6 = 10
Amount that Marion had at first
= 20 u + 90
= 20 x 10 + 90
= 200 + 90
= $290
Total amount that both girls had at first
= 2 x 290
= $580
Answer(s): $580
