Xandra had $485 less than Ethan. Ethan spent 0.6 of his money and Xandra spent 0.4 of her money. In the end, Ethan and Xandra had the same amount of money left. Find the amount of money Xandra had at first.
| |
Xandra |
Ethan |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Ethan's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Xandra's amount left
= 1 -
25 =
35 The amount that Ethan and Xandra each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Ethan's amount =
35 of Xandra's amount
615 of Ethan's amount =
610 of Xandra's amount
Amount that Xandra had less than Ethan
= 15 u - 10 u
= 5 u
5 u = 485
1 u = 485 ÷ 5 = 97
Amount that Xandra had at first
= 10 u
= 10 x 97
= $970
Answer(s): $970
