if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight

Respuesta :

Answer:

The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.

Step-by-step explanation:

Let the weight of the lighter person be 1 unit.

The weight of the heavier person will be [tex]1\times 5=5u[/tex]

Total weight: [tex]1u+5u=6u[/tex]

6 units = 132

Divide 6:

[tex]1u=\frac{132}{6}[/tex]

[tex]1u=22[/tex]

The weight of the lighter person is 22 pounds.

Weight of the heavier person [tex]= 5\times 22=110[/tex]

The weight of the heavier person is 110 pounds.

Step-by-step explanation:

someone= 5x

someone + x= 132

5x + x = 132

6X=132

x=22

One person ("someone") weighs x× 5 = 110.

the other person ("x) weighs x = 22