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

$x= \frac{1}{4}y$ -----> equation 1

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

substitute equation 2 in equation 1

$1200= \frac{1}{4}y\\ y=4*1200 \\y=\ 4,800$

therefore

the answer is

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