Esther had $430 less than Eric. Eric spent 0.8 of his money and Esther spent 0.4 of her money. In the end, Eric and Esther had the same amount of money left. Find the amount of money Esther had at first.
| |
Esther |
Eric |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Eric's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Esther's amount left
= 1 -
25 =
35 The amount that Eric and Esther each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Eric's amount =
35 of Esther's amount
315 of Eric's amount =
35 of Esther's amount
Amount that Esther had less than Eric
= 15 u - 5 u
= 10 u
10 u = 430
1 u = 430 ÷ 10 = 43
Amount that Esther had at first
= 5 u
= 5 x 43
= $215
Answer(s): $215
