How much does a pizza cost?

Question

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much does a pizza cost?

Answer 1

Pizza cost $8.50

Breadsticks cost $2.00

 

3p+2b= 29.50

2p+3b=23

 

3(3p+2b=29.95)

-2(2p+3b=23)

 

9p+6b=88.5

-4p-6b=-46

 

5p               42.5

----      =    ------

5                   5

 

p=8.5