Answer:
The total pieces of cake are 24
Explanation:
Linear equations
It's a relation between one or more variables and or numbers, connected with the equal sign. An example is 4x-5=7, or 2(x+y)=7-(x-y)
This problem can be easily solved without the use of equations, but we are required to.
We know Mindy and Troy combined ate 9 pieces of cake, we also know that Mindy ate 3 pieces of cake. It leaves 6 pieces to Troy. Since Troy ate 1/4 of the whole cake, then
![\displaystyle (1)/(4)X=6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/w30b2o1ze5ysjbwiuzt4xg7tlj0l5djlz2.png)
Where X is the number of pieces of cake
Solving for X
![X=(4)(6)=24\ pieces](https://img.qammunity.org/2021/formulas/mathematics/middle-school/36dbveubud6tuu8t67aihrfsv7fmdlmgxf.png)