Lynn had $1794 less than Ken. Lynn spent
16 of her money and Ken spent
57 of his money. In the end, Ken and Lynn had the same amount of money left. Find the amount of money Ken had at first.
|
Lynn |
Ken |
Difference |
Before |
6x2 = 12 u |
7x5 = 35 u |
23 u |
Change |
- 1x2 = - 2 u |
- 5x5 = - 25 u |
|
After |
5x2 = 10 u |
2x5 = 10 u |
|
Fraction of Lynn's money left
= 1 -
16 =
56 Fraction of Ken's money left
= 1 -
57 =
27Ken and Lynn had the same amount of money in the end. Make the numerators the same. LCM of 5 and 2 is 10.
56 of Lynn's money =
27 of Ken's money
1012 of Lynn's money =
1035 of Ken's money
Amount that Lynn had at first = 12 u
Amount that Ken had at first = 35 u
Amount that Lynn had less than Ken had at first
= 35 u - 12 u
= 23 u
23 u = 1794
1 u = 1794 ÷ 23 = 78
Amount that Ken had at first
= 35 u
= 35 x 78
= $2730
Answer(s): $2730