Diana had $756 less than Nick. Diana spent
17 of her money and Nick spent
47 of his money. In the end, Nick and Diana had the same amount of money left. Find the amount of money Nick had at first.
|
Diana |
Nick |
Difference |
Before |
7x1 = 7 u |
7x2 = 14 u |
7 u |
Change |
- 1x1 = - 1 u |
- 4x2 = - 8 u |
|
After |
6x1 = 6 u |
3x2 = 6 u |
|
Fraction of Diana's money left
= 1 -
17 =
67 Fraction of Nick's money left
= 1 -
47 =
37Nick and Diana had the same amount of money in the end. Make the numerators the same. LCM of 6 and 3 is 6.
67 of Diana's money =
37 of Nick's money
67 of Diana's money =
614 of Nick's money
Amount that Diana had at first = 7 u
Amount that Nick had at first = 14 u
Amount that Diana had less than Nick had at first
= 14 u - 7 u
= 7 u
7 u = 756
1 u = 756 ÷ 7 = 108
Amount that Nick had at first
= 14 u
= 14 x 108
= $1512
Answer(s): $1512