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Step-by-step explanation:

Let

x ----> amount received by the first person

y ----> amount received by the second person

z ----> amount received by the third person

we know that

$x+y+z=48$ ----> equation A

$x:y:z=3:2:1$

$\frac{x}{y}=\frac{3}{2}$

$x=1.5y$ ----> equation B

$\frac{y}{z}=\frac{2}{1}$

$z=0.5y$ ----> equation C

substitute equation B and equation C in equation A

$1.5y+y+0.5y=48$

solve for y

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Find the value of x

$x=1.5(16)=\$24$

Find the value of z

$z=0.5(16)=\$8$

therefore

The person who receives the most will get $24

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