Question

Write an equation that may be used to solve the problem below, and then solve the equation. Amy's monthly rent is one-fourth of her monthly income. If her monthly rent is $1200, how much is her monthly income?

Answer 1

Let

x-------> Amy's monthly rent

y-------> Amy's monthly income

we know that

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

`x=\$1200` -----> equation 2

substitute equation 2 in equation 1

`1200= (1)/(4)y\\ y=4*1200 \\y=\$4,800`

therefore

the answer is

Amy's monthly income is
`\$4,800`