Esther had $490 less than Carl. Carl spent 0.6 of his money and Esther spent 0.2 of her money. In the end, Carl and Esther had the same amount of money left. Find the amount of money Esther had at first.
| |
Esther |
Carl |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Carl's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Esther's amount left
= 1 -
15 =
45 The amount that Carl and Esther each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Carl's amount =
45 of Esther's amount
410 of Carl's amount =
45 of Esther's amount
Amount that Esther had less than Carl
= 10 u - 5 u
= 5 u
5 u = 490
1 u = 490 ÷ 5 = 98
Amount that Esther had at first
= 5 u
= 5 x 98
= $490
Answer(s): $490
