Esther had $400 less than Carl. Carl spent 0.7 of his money and Esther spent 0.3 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 |
30 u |
70 u |
40 u |
Change |
- 3 u |
- 7 u |
|
After |
21 u |
21 u |
|
0.7 =
710 Fraction of Carl's amount left
= 1 -
710 =
310 0.3 =
310 Fraction of Esther's amount left
= 1 -
310 =
710 The amount that Carl and Esther each had in the end is the same. Make the numerators the same. LCM of 3 and 7 is 21.
310 of Carl's amount =
710 of Esther's amount
2170 of Carl's amount =
2130 of Esther's amount
Amount that Esther had less than Carl
= 70 u - 30 u
= 40 u
40 u = 400
1 u = 400 ÷ 40 = 10
Amount that Esther had at first
= 30 u
= 30 x 10
= $300
Answer(s): $300