Answer:
Blueberry pie: $10
Blackberry pie: $12
Explanation:
We can use system of equations for this problem. Let's use x for blueberry and y for blackberry.
Equation 1
8x+8y=176
This equation comes from how mush Heather sold.
Equation 2
8x+10y=200
This equation comes from how mush Kim sold.
We can use elimination method to find the value of y.
-2y=-24
y=12
Now, we know that a blackberry pie costs $12. We can plug this back into any of the equaitons above to find the price of a blueberry pie.
8x+10(12)=200
8x+120=200
8x=80
x=10
We know that a blueberry pie costs $10.