Cindy had $450 less than Simon. Simon spent 0.8 of his money and Cindy spent 0.4 of her money. In the end, Simon and Cindy had the same amount of money left. Find the amount of money Cindy had at first.
| |
Cindy |
Simon |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Simon's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Cindy's amount left
= 1 -
25 =
35 The amount that Simon and Cindy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Simon's amount =
35 of Cindy's amount
315 of Simon's amount =
35 of Cindy's amount
Amount that Cindy had less than Simon
= 15 u - 5 u
= 10 u
10 u = 450
1 u = 450 ÷ 10 = 45
Amount that Cindy had at first
= 5 u
= 5 x 45
= $225
Answer(s): $225
