Emma had $60 more than Raeann. Emma spent
47 of her money and Raeann spent
23 of her money. In the end, Emma had 2 times as much as Raeann. Find the amount of money Raeann had at first.
|
Emma |
Raeann |
Comparing Emma and Raeann at first |
$60 more |
|
Before |
7x2 = 14 u |
3x3 = 9 u |
Change |
- 4x2 = - 8 u |
- 2x3 = - 6 u |
After |
3x2 = 6 u |
1x3 = 3 u |
Comparing Emma and Raeann in the end |
2x3 = 6 u |
1x3 = 3 u |
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 2 and 3 is 6.
Amount that Emma had more than Raeann
= 14 u - 9 u
= 5 u
5 u = 60
1 u = 60 ÷ 5 = 12
Amount that Raeann had at first
= 9 u
= 9 x 12
= $108
Answer(s): $108