Emily had $315 less than Betty. Betty spent 0.6 of her money and Emily spent 30% of her money. In the end, Betty and Emily had the same amount of money left. Find the amount of money that Betty had at first.
|
Emily |
Betty |
Comparing Betty and Emily at first |
|
315 more |
Before |
10x2 = 20 u |
5x7 = 35 u |
Change |
- 3x2 = - 6 u |
- 3x7 = - 21 u |
After |
7x2 = 14 u |
2x7 = 14 u |
0.6 =
610 =
35 30% =
30100 =
310 Emily and Betty had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 2 and 7 is 14.
Amount that Emily had less than Betty at first
= 35 u - 20 u
= 15 u
15 u = 315
1 u = 315 ÷ 15 = 21
Amount that Betty had at first
= 35 u
= 35 x 21
= $735
Answer(s): $735