Max vs Sharon

Max is 1 1/2 times as tall as Sharon. Alan is 4 1/3 feet tall. If Alan is 6 inches taller than Sharon, how tall is Max?

Correct answer:

M =  5.75 ft

Step-by-step explanation:

$$\begin{gathered} A=4{\displaystyle \frac{1}{3}}=4+{\displaystyle \frac{1}{3}}={\displaystyle \frac{4\cdot 3+1}{3}}={\displaystyle \frac{13}{3}}\doteq 4.3333\text{ ft } \\ a=6\text{ inch}\to \text{ ft}=6\mathrm{/}12\text{ ft}=0.5\text{ ft } \\ S=A-a=4.3333-0.5={\displaystyle \frac{23}{6}}\doteq 3.8333\text{ ft } \\ m=1{\displaystyle \frac{1}{2}}=1+{\displaystyle \frac{1}{2}}={\displaystyle \frac{1\cdot 2+1}{2}}={\displaystyle \frac{3}{2}}=1.5 \\ M=m\cdot S=1.5\cdot 3.8333={\displaystyle \frac{23}{4}}\text{ ft}=5.75\text{ ft} \end{gathered}$$

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