Casey orders three pizzas and two orders of breadsticks for a total of $28. Rachel orders two pizzas and three orders of breadsticks for a total of $22. How much does a pizza cost? How much does an order of breadsticks cost?
x=pizza, y=breadsticks Casey: 3x+2y=28 Rachel: 2x+3y=22 from the first equation, y can also be expressed as (28-3x)/2. Thus Rachel = 2x + 3((28-3x)/2) = 22. Therefore, x=$8 per pizza and 2(8)+ 3y=22 ==> y=$2 per order of breadsticks