Answer: 2 cups
Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.
Set those two equations equal to each other. [tex]0.5x-5=x-4[/tex]
Isolate x. [tex]0.5x=-1[/tex]
Solve for x. [tex]x=-2[/tex]
Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.
