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

$28 would go to the person recieving the most.

Step-by-step explanation:

3+2+1=6

6x=48

/6 /6

x=8

Answer 2

The person who receives the most will get $24

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

`(x)/(y)=(3)/(2)`

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

`(y)/(z)=(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