Question

There is $48 to be divided among 3 people. the ratio of dividing is 3:2:1. How much does the person who receives the most will get?

Answer 1

Answer:

The person who receives the most will get $24

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

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

so

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

$x=1.5y$ ----> 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

$3y=48\\y=\ 16$

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

Answer 2

Answer:

$28 would go to the person recieving the most.

Step-by-step explanation:

3+2+1=6

6x=48

/6   /6

x=8