Answer:
![x = 6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rfxeu0rgxtdic6lqlcq5waa012fmosd2e9.png)
Explanation:
Given
Let y represent the number of meatballs in total and x represents the number of plates.
![y = 30](https://img.qammunity.org/2021/formulas/mathematics/middle-school/y1wy4mw4l39ychld8fvxsuw62p2yip49la.png)
per plate
Required
Determine the value of x
To solve for x, we make use of the following expression.
![y = Rate * x](https://img.qammunity.org/2021/formulas/mathematics/college/7r5szqbmh1eneh1sv7ybv94d70o6qmteyb.png)
Substitute values for y and Rate
![30 = 5 * x](https://img.qammunity.org/2021/formulas/mathematics/high-school/raopqbafw6tbl53xeajhy34b7b2ric20ys.png)
![30 = 5 x](https://img.qammunity.org/2021/formulas/mathematics/high-school/8jjb2ege6w1rg7nhmkna67d1kg55deeny7.png)
Divide through by 5
![30/5 = 5 x/5](https://img.qammunity.org/2021/formulas/mathematics/high-school/769ibb881gijsza3isgscq65stma18z0hd.png)
![6 = x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/pw7jk1votzsvc2bhpivj1hxgfxx5kswtaa.png)
![x = 6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rfxeu0rgxtdic6lqlcq5waa012fmosd2e9.png)
Hence, number of plates is 6