Cindy had $320 less than Nick. Nick spent 0.8 of his money and Cindy spent 0.4 of her money. In the end, Nick and Cindy had the same amount of money left. Find the amount of money Cindy had at first.
|
Cindy |
Nick |
Difference |
Before |
5 u |
15 u |
10 u |
Change |
- 1 u |
- 3 u |
|
After |
3 u |
3 u |
|
0.8 =
45 Fraction of Nick's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Cindy's amount left
= 1 -
25 =
35 The amount that Nick and Cindy each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Nick's amount =
35 of Cindy's amount
315 of Nick's amount =
35 of Cindy's amount
Amount that Cindy had less than Nick
= 15 u - 5 u
= 10 u
10 u = 320
1 u = 320 ÷ 10 = 32
Amount that Cindy had at first
= 5 u
= 5 x 32
= $160
Answer(s): $160