Dana had $315 less than Riordan. Riordan spent 0.6 of his money and Dana spent 0.4 of her money. In the end, Riordan and Dana had the same amount of money left. Find the amount of money Dana had at first.
| |
Dana |
Riordan |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of Riordan's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Dana's amount left
= 1 -
25 =
35 The amount that Riordan and Dana each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of Riordan's amount =
35 of Dana's amount
615 of Riordan's amount =
610 of Dana's amount
Amount that Dana had less than Riordan
= 15 u - 10 u
= 5 u
5 u = 315
1 u = 315 ÷ 5 = 63
Amount that Dana had at first
= 10 u
= 10 x 63
= $630
Answer(s): $630
