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Aliun [14]
3 years ago
9

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 g

et?
Mathematics
2 answers:
hodyreva [135]3 years ago
7 0

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

Pani-rosa [81]3 years ago
4 0

Answer:

$28 would go to the person recieving the most.

Step-by-step explanation:

3+2+1=6

6x=48

/6   /6

x=8

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Step-by-step explanation:

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3 years ago
What is the solution of the system? Use elimination. <br> 3x - 4y = 9<br> -3x + 2y = 9
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You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
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We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

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Confirm with the final equation:

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