### Home > A2C > Chapter 11 > Lesson 11.2.4 > Problem11-89

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 equations, then solve.

Set up a system of equations.
Make x = lunch and y = dinner.

$x + y = 2700$
$15x + 22y = 51,301$

Set the equation like a mixture problem.

$15x + 22\left(2700 − x\right) = 51,301$

Distribute.

$15x + 59,400 − 22x = 51,301$

Solve for x.

$7x = 8099$

$x = 1157$