Sarah spends 2/5 of her monthly income on rent. Sarah's rent is $750. What is sarah's montly income? Write an equation to solve this problem.
2/5x = 750
To find Sarah's monthly income, we can set up an equation. Let's assume that Sarah's monthly income is represented by 'x'.
According to the information given, Sarah spends 2/5 of her monthly income on rent, which is $750. So, we can write the equation as:
2/5 * x = $750
To solve this equation, we need to isolate 'x'. We can do this by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2.
(5/2)(2/5) * x = (5/2) * $750
Multiplying the fractions and simplifying the equation, we get:
1 * x = $1,875
Therefore, Sarah's monthly income is $1,875.