The ratio of Cole's to Sam's money is 7 : 10. The ratio of Sam's to Fred's money is 4 : 5. If Cole has $182, how much more does Fred have than Sam?
Cole |
Sam |
Fred |
7x2 |
10x2 |
|
|
4x5 |
5x5 |
14 u |
20 u |
25 u |
The amount that Sam has is the repeated identity.
Use LCM to make it the same.
LCM of 10 and 4 = 20
Amount that Cole has = 14 u
14 u = 182
1 u = 182 ÷ 14 = 13
Amount that Fred has more than Sam
= 25 u - 20 u
= 5 u
= 5 x 13
= $65
Answer(s): $65