Cathy had $460 less than David. David spent 0.6 of his money and Cathy spent 0.4 of her money. In the end, David and Cathy had the same amount of money left. Find the amount of money Cathy had at first.
| |
Cathy |
David |
Difference |
| Before |
10 u |
15 u |
5 u |
| Change |
- 2 u |
- 3 u |
|
| After |
6 u |
6 u |
|
0.6 =
35 Fraction of David's amount left
= 1 -
35 =
25 0.4 =
25 Fraction of Cathy's amount left
= 1 -
25 =
35 The amount that David and Cathy each had in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
25 of David's amount =
35 of Cathy's amount
615 of David's amount =
610 of Cathy's amount
Amount that Cathy had less than David
= 15 u - 10 u
= 5 u
5 u = 460
1 u = 460 ÷ 5 = 92
Amount that Cathy had at first
= 10 u
= 10 x 92
= $920
Answer(s): $920
