Esther had $390 less than Ken. Ken spent 0.8 of his money and Esther spent 0.4 of her money. In the end, Ken and Esther had the same amount of money left. Find the amount of money Esther had at first.
|
Esther |
Ken |
Difference |
Before |
5 u |
15 u |
10 u |
Change |
- 1 u |
- 3 u |
|
After |
3 u |
3 u |
|
0.8 =
45 Fraction of Ken's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Esther's amount left
= 1 -
25 =
35 The amount that Ken and Esther each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Ken's amount =
35 of Esther's amount
315 of Ken's amount =
35 of Esther's amount
Amount that Esther had less than Ken
= 15 u - 5 u
= 10 u
10 u = 390
1 u = 390 ÷ 10 = 39
Amount that Esther had at first
= 5 u
= 5 x 39
= $195
Answer(s): $195