Betty and Emma went shopping together. Betty brought thrice as much money as Emma. After Betty had spent $590 and Emma had spent $190, they had an equal amount of money left. How much money did each of them have at first?
- Emma
- Betty
|
Betty |
Emma |
Before |
3 u |
1 u |
Change |
- $590 |
- $190 |
After |
3 u - $590 |
1 u - $190 |
(a)
The amounts that Betty and Emma had in the end are the same.
3 u - 590 = 1 u - 190
3 u - 1 u = 590 - 190
2 u = 400
1 u = 400 ÷ 2 = 200
Amount that Emma had at first
= 1 u
= $200
(b)
Amount that Betty had at first
= 3 u
= 3 x 200
= $600
Answer(s): (a) $200, (b) $600