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