Question

Carol, Marcy and Diana together have $847.40. Marcy has 4

times as much money as Carol, and Diana has $31.81 less than
Marcy. How much money do Carol and Marcy have altogether?

Answer 1

The amount of money Carol and Marcy have altogether is
`\$488.45`

Explanation:

Let

x ----> the amount of money Carol has

y ----> the amount of money Marcy has

z ----> the amount of money Diana has

we know that

`x+y+z=847.40` ----> equation A

`y=4x` ---->
`x=(1)/(4)y` ----> equation B

`z=y-31.81` ----> equation C

substitute equation B and equation C in equation A

`(1)/(4)y+y+y-31.81=847.40`

Solve for y

`(9)/(4)y=847.40+31.81`

`(9)/(4)y=879.21`

`y=879.21*4/9\\y=390.76`

Find the value of x

`x=(1)/(4)y` --->
`x=(1)/(4)(390.76)=97.69`

so

The amount of money Carol has is $97.69

The amount of money Marcy has is $390.76

therefore

The amount of money Carol and Marcy have altogether is equal to

`\$97.69+\$390.76=\$488.45`