sophia mandy and alexis are cousins sophia is 3/4 as tall as mandy. alexis is 5/6 as tall as mandy . what is the difference in height between sophia and alexis id mandy is 5 feet tall1/12 5/124 1/63 3/4
Accepted Solution
A:
Answer:[tex]\frac{5}{12}[/tex] feetStep-by-step explanation:Let height of mandy be m, sophia be s, and alexis be a"sophia is 3/4 as tall as mandy":[tex]s=\frac{3}{4}m[/tex]"alexis is 5/6 as tall as mandy":[tex]a=\frac{5}{6}m[/tex]Since mandy is 5 feet, we plug in 5 into m in both of the equations to find height of alexis and sophia.Sophia = [tex]\frac{3}{4}(5)=\frac{15}{4}[/tex]Alexis = [tex]\frac{5}{6}(5)=\frac{25}{6}[/tex]Difference in height of Alexis and Sophia is [tex]\frac{25}{6}-\frac{15}{4}=\frac{5}{12}[/tex] feet