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
[tex]x+y+z=48[/tex] ----> equation A
[tex]x:y:z=3:2:1[/tex]
so
[tex]\frac{x}{y}=\frac{3}{2}[/tex]
[tex]x=1.5y[/tex] ----> equation B
[tex]\frac{y}{z}=\frac{2}{1}[/tex]
[tex]z=0.5y[/tex] ----> equation C
substitute equation B and equation C in equation A
[tex]1.5y+y+0.5y=48[/tex]
solve for y
[tex]3y=48\\y=\$16[/tex]
Find the value of x
[tex]x=1.5(16)=\$24[/tex]
Find the value of z
[tex]z=0.5(16)=\$8[/tex]
therefore
The person who receives the most will get $24
Answer:
$28 would go to the person recieving the most.
Step-by-step explanation:
3+2+1=6
6x=48
/6 /6
x=8
