Kylie had $185 less than Rachel. Rachel spent
35 of her money and Kylie spent
45 of her money. In the end, Rachel had 3 times as much as Kylie. Find the amount of money Rachel had at first.
|
Rachel |
Kylie |
Comparing Rachel and Kylie at first |
$185 more |
|
Before |
5x3 = 15 u |
5x2 = 10 u |
Change |
- 3x3 = - 9 u |
- 4x2 = - 8 u |
After |
2x3 = 6 u |
1x2 = 2 u |
Comparing Rachel and Kylie in the end |
3x2 = 6 u |
1x2 = 2 u |
The amount that Rachel had in the end is repeated. Make the amount that Rachel had in the end the same. LCM of 3 and 2 is 6.
Amount that Kylie had less than Rachel
= 15 u - 10 u
= 5 u
5 u = 185
1 u = 185 ÷ 5 = 37
Amount that Rachel had at first
= 15 u
= 15 x 37
= $555
Answer(s): $555