Answer:
The equation is
![85=2x](https://img.qammunity.org/2020/formulas/mathematics/high-school/rifvelqn6slh97938jc3g9x8iqpt8o1f69.png)
Explanation:
Given,
Price of one cup of lemonade = $2
Total earning = $85
Number of cups = x
Here we have to find out the equation for earning $85.
Total earning is product of number of cups Christopher sold to price of each cup of lemonade.
The equation can be written as;
Total earning = Price of one cup of lemonade X Number of cups
![\therefore85=2* x](https://img.qammunity.org/2020/formulas/mathematics/high-school/916pzzkaiwsifu1zipl3ytvysm14tjtzr2.png)
![85=2x\\x=(85)/(2)=42.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/cvbonn4i5bx40as0p3l6zmb6hhcw4r4duz.png)
Hence Christopher has to sold 42 and a half cup of lemonade in order to make $85.
And the equation is
![85=2x](https://img.qammunity.org/2020/formulas/mathematics/high-school/rifvelqn6slh97938jc3g9x8iqpt8o1f69.png)