Question

1. Molly is 5 3/4 feet tall, Her brother Andy is 6 1/6 feet tall. How much taller is Andy than Molly?A:5/12 footB:11 11/12 feetC: 1 5/12 feetD: 7 1/2

Answer 1

Option (A)

Given:

Height of Molly is 5 3/4 feet takk.

Height of Andy is 6 1/6 feet takk.

The objective is to find how much taller is Andy than Molly.

The given equation can be wtitten as,

`\begin{gathered} \text{Height of molly is, M=5}(3)/(4)\text{ f}eet. \\ \text{Height of andy is, A=6}(1)/(6)\text{ f}eet. \end{gathered}`

THe difference between their height can be calculated as,

`\begin{gathered} d=A-M \\ =6(1)/(6)-5(3)/(4) \\ =(36+1)/(6)-(20+3)/(4) \\ =(37)/(6)-(23)/(4) \\ =(37(4)-23(6))/(6(4)) \\ =(148-138)/(24) \\ =(10)/(24) \\ =(5)/(12)\text{ foot} \end{gathered}`

Hence, option (A) is the correct answer.