### Home > A2C > Chapter Ch11 > Lesson 11.2.4 > Problem 11-89

11-89.

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