Jane had $330 less than Justin. Justin spent 0.6 of his money and Jane spent 0.4 of her money. In the end, Justin and Jane had the same amount of money left. Find the amount of money Jane had at first.
| |
Jane |
Justin |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Justin's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Jane's amount left
= 1 -
25 =
35 The amount that Justin and Jane each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Justin's amount =
35 of Jane's amount
615 of Justin's amount =
610 of Jane's amount
Amount that Jane had less than Justin
= 15 u - 10 u
= 5 u
5 u = 330
1 u = 330 ÷ 5 = 66
Amount that Jane had at first
= 10 u
= 10 x 66
= $660
Answer(s): $660
