Question

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 tall

1/12
5/12
4 1/6
3 3/4

Answer 1

Answer:

$\frac{5}{12}$  feet

Step-by-step explanation:

Let height of mandy be m, sophia be s, and alexis be a

"sophia is 3/4 as tall as mandy":

$s=\frac{3}{4}m$

"alexis is 5/6 as tall as mandy":

$a=\frac{5}{6}m$

Since mandy is 5 feet, we plug in 5 into m in both of the equations to find height of alexis and sophia.

Sophia  =  $\frac{3}{4}(5)=\frac{15}{4}$

Alexis  =  $\frac{5}{6}(5)=\frac{25}{6}$

Difference in height of Alexis and Sophia is  $\frac{25}{6}-\frac{15}{4}=\frac{5}{12}$ feet