Lynn had $98 less than Rachel. Rachel spent
58 of her money and Lynn spent
23 of her money. In the end, Rachel had 2 times as much as Lynn. Find the amount of money Rachel had at first.
|
Rachel |
Lynn |
Comparing Rachel and Lynn at first |
$98 more |
|
Before |
8x2 = 16 u |
3x3 = 9 u |
Change |
- 5x2 = - 10 u |
- 2x3 = - 6 u |
After |
3x2 = 6 u |
1x3 = 3 u |
Comparing Rachel and Lynn in the end |
2x3 = 6 u |
1x3 = 3 u |
The amount that Rachel had in the end is repeated. Make the amount that Rachel had in the end the same. LCM of 2 and 3 is 6.
Amount that Lynn had less than Rachel
= 16 u - 9 u
= 7 u
7 u = 98
1 u = 98 ÷ 7 = 14
Amount that Rachel had at first
= 16 u
= 16 x 14
= $224
Answer(s): $224