Lucy had $400 less than Esther. Esther spent 0.6 of her money and Lucy spent 10% of her money. In the end, Esther and Lucy had the same amount of money left. Find the amount of money that Esther had at first.
| |
Lucy |
Esther |
Comparing Esther
and Lucy at first |
|
400 more |
| Before |
10x2 =
20 u |
5x9 =
45 u |
| Change |
- 1x2 =
- 2 u |
- 3x9 =
- 27 u |
| After |
9x2 =
18 u |
2x9 =
18 u |
0.6 =
610 =
35 10% =
10100 =
110 Lucy and Esther had the same amount of money in the end. Make the amount that each had in the end the same. LCM of 2 and 9 is 18.
Amount that Lucy had less than Esther at first
= 45 u - 20 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Esther had at first
= 45 u
= 45 x 16
= $720
Answer(s): $720
