Answer:
Trisha made <u>2 pans</u> of brownies.
Step-by-step explanation:
Let the number of pans of brownies made by Trisha be 'x'.
Given:
Number of pans contributed by Rachel = 5
Number of squares in each pan = 12
Total number of squares (S) = 84
Total number of pans (N) = Number of pans by Trisha (x) + Number of pans by Rachel
So,
-------- (1)
Total number of squares (S) = Number of squares in each pan × Number of pans (N).
![S = 12N\\84=12N---- (2)](https://tex.z-dn.net/?f=S%20%3D%2012N%5C%5C84%3D12N----%20%282%29)
Plug in the value of 'N' from equation (1) in equation (2). This gives,
![84=12(x+5)](https://tex.z-dn.net/?f=84%3D12%28x%2B5%29)
Solve for 'x'.
![12(x+5)=84\\\\x+5=\frac{84}{12}\\\\x+5=7\\\\x=7-5=2](https://tex.z-dn.net/?f=12%28x%2B5%29%3D84%5C%5C%5C%5Cx%2B5%3D%5Cfrac%7B84%7D%7B12%7D%5C%5C%5C%5Cx%2B5%3D7%5C%5C%5C%5Cx%3D7-5%3D2)
Therefore, Trisha made 2 pans of brownies.