### Home > AC > Chapter 6 > Lesson 6.2.3 > Problem6-63

6-63.

On Tuesday the cafeteria sold pizza slices and burritos. The number of pizza slices sold was $20$ less than twice the number of burritos sold. Pizza sold for $\2.50$ a slice and burritos for $\3.00$ each. The cafeteria collected a total of $\358$ for selling these two items.

1. Write two equations with two variables to represent the information in this problem. Be sure to define your variables.

$p=$ pizza slices (#)
$b=$ burritos (#)

One equation should be about the amount of money collected from the burritos and pizza slices sold.
The other equation should be about the number of pizza slices sold compared to the number of burritos sold.

$2.50p+3b=358$
$p=2b−20$

2. Solve the system from part (a). Then determine how many pizza slices were sold.

• Use the substitution method with the equations you found in part (a).