Dana had $470 less than Justin. Justin spent 0.6 of his money and Dana spent 0.4 of her money. In the end, Justin and Dana had the same amount of money left. Find the amount of money Dana had at first.
| |
Dana |
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 Dana's amount left
= 1 -
25 =
35 The amount that Justin and Dana 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 Dana's amount
615 of Justin's amount =
610 of Dana's amount
Amount that Dana had less than Justin
= 15 u - 10 u
= 5 u
5 u = 470
1 u = 470 ÷ 5 = 94
Amount that Dana had at first
= 10 u
= 10 x 94
= $940
Answer(s): $940
