Sarah had $240 less than Emma. Emma spent
47 of her money and Sarah spent
23 of her money. In the end, Emma had 2 times as much as Sarah. Find the amount of money Emma had at first.
|
Emma |
Sarah |
Comparing Emma and Sarah at first |
$240 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 Sarah 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 Sarah had less than Emma
= 14 u - 9 u
= 5 u
5 u = 240
1 u = 240 ÷ 5 = 48
Amount that Emma had at first
= 14 u
= 14 x 48
= $672
Answer(s): $672