Answer:
1.00
Step-by-step explanation:
You want to know the price of a cookie when 3 pizza slices and 2 cookies cost 6.50, while 1 pizza slice and 1 cookie costs 2.50.
We can write equations for the costs as ...
3p +2c = 6.50
p + c = 2.50
Multiplying the second equation by 3 and subtracting the first equation eliminates the variable p.
3(p +c) -(3p +2c) = 3(2.50) -(6.50)
3p +3c -3p -2c = 7.50 -6.50 . . . . . . . eliminate parentheses
c = 1.00 . . . . . . . . . simplify
The cost of a cookie is 1.00.