Answer:
One blueberry pie = $7
One pumpkin pie = $16
Step-by-step explanation:
Since there are two variables in this problem - the cost of blueberry pie and the cost of pumpkin pie, we can set up a system of equations to solve. Since Brandy sold 6 blueberry pies and 4 pumpkin pies for $106, our first equation is: 6b + 4p = 106.
Molly sold 6 blueberry and 3 pumpkin for $90, so the second equation is: 6b + 3p = $90.
We can use elimination to add the two equations together and eliminate one variable while we solve for the other:
6b + 4p = 106
6b + 3p = 90
In order to eliminate a variable, you can multiply the first equation by -1:
-1(6b + 4p = 106) = -6b - 4p = -106
Add<u> 6b + 3p = 90</u>
-p = -16, so p = 16
Now, solve for b: 6b + 3(16) = 106 or 6b + 48 = 90
Subtract 48 from both sides: 6b + 48 - 48 = 90-48
Divide by 6: 6b/6 = 42/6
Solve for b: b = 7
