### Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem 11-89

11-89.

Betty's Quick Stop makes a 15% profit on its lunches and a 22% profit on its dinners. If Betty took in $2700 on Tuesday and made $513.01 profit, how much did Betty take in on lunch? Write one or two

Set up a system of equations.

Make *x* = lunch and *y* = dinner.

*x* + *y* = 2700

15*x* + 22*y* = 51,301

Set the equation like a mixture problem.

15*x* + 22(2700 − *x*) = 51,301

Distribute.

15*x* + 59,400 − 22*x* = 51,301

Solve for *x*.

7*x* = 8099

*x* = $1157