Answer:
![(3+z)/(y)=A](https://img.qammunity.org/2023/formulas/mathematics/college/t0u3q2saanoyoezuas2uexhikhntb00x6s.png)
Step-by-step explanation:
The equation we have is:
![3=Ay-z](https://img.qammunity.org/2023/formulas/mathematics/college/tkn0hihy9kfts0opu4fyueuoy4ebtseebq.png)
Where
A = total number of cupcakes
y = total number of people
z = number of people who don't eat cakes
To solve for A we follow these steps.
Step 1: Add +z to both sides of the equation
![\begin{gathered} 3+z=Ay-z+z \\ 3+z=Ay \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/716eld8tuk18zon72c70ynpnbeqbc5sxja.png)
Step 2: Divide both sides of the equation by "y" to get A.
![\begin{gathered} (3+z)/(y)=(Ay)/(y) \\ \\ (3+z)/(y)=A \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4c7pycdlq2enlaqf8tmvlnhfbt5adqz63s.png)
Answer:
![(3+z)/(y)=A](https://img.qammunity.org/2023/formulas/mathematics/college/t0u3q2saanoyoezuas2uexhikhntb00x6s.png)