Question

Trish made a few pans of brownies to sell. Rachel also contributed 5 pans. Each pan of brownies was cut into 12 squares. If there were a total of 84 brownie squares, how many pans of brownies did Trish make ? Answer must be a two-step equation!!

Answer 1

Trisha made 2 pans of brownies.

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,
`N=x+5` -------- (1)

Total number of squares (S) = Number of squares in each pan × Number of pans (N).

`S = 12N\\84=12N---- (2)`

Plug in the value of 'N' from equation (1) in equation (2). This gives,

`84=12(x+5)`

Solve for 'x'.

`12(x+5)=84\\\\x+5=(84)/(12)\\\\x+5=7\\\\x=7-5=2`

Therefore, Trisha made 2 pans of brownies.