Answer:
Trisha made 2 pans 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, [tex]N=x+5[/tex] -------- (1)
Total number of squares (S) = Number of squares in each pan × Number of pans (N).
[tex]S = 12N\\84=12N---- (2)[/tex]
Plug in the value of 'N' from equation (1) in equation (2). This gives,
[tex]84=12(x+5)[/tex]
Solve for 'x'.
[tex]12(x+5)=84\\\\x+5=\frac{84}{12}\\\\x+5=7\\\\x=7-5=2[/tex]
Therefore, Trisha made 2 pans of brownies.