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