Marion and Natalie had equal amount of money. Each day, Marion spent $13 and Natalie spent $18. When Marion had $120 left, Natalie had
23 as much money left as Marion. How much money did the two girls have at first?
| |
Marion |
Natalie |
| Before |
13 u + 120 |
18 u + 80 |
| Change |
- 13 u |
- 18 u |
| After |
$120 |
$80 |
Amount that Natalie had left
=
23 x 120
= $80
The amount that Marion and Natalie had at first is the same.
18 u + 80 = 13 u + 120
18 u - 13 u = 120 - 80
5 u = 40
1 u = 40 ÷ 5 = 8
Amount that Marion had at first
= 13 u + 120
= 13 x 8 + 120
= 104 + 120
= $224
Total amount that both girls had at first
= 2 x 224
= $448
Answer(s): $448
