what is your question then?
Answer:
You sold 6 cherry pies and 14 apple pies.
Step-by-step explanation:
It's a system of equations problem.
12C + 9A = 198
A + C = 20
A = 20 - C
12C + 9(20 - C) = 198
12C + 180 - 9C = 198
3C + 180 = 198
3C = 18
C = 6
A + 6 = 20
A = 14
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
