Question

You are selling drinks at the carnival to raise money for your club. You sell lemonade for $2 per cup and orange drinks for $3 per cup. Your sales totaled $240. Let X be the number of cups of lemonade and Y be the number of drinks.

Answer 1

If you need an equation the answer is 240= 2x + 3y

Answer 2

Linear equation in two variables are algebraic equations having unique solutions or no solution. These equations may also have n number of variables.

The equation for the given question is $2x+3y=240$

Calculations

Given:

               $\begin{aligned}\rm\ The\: price \: of \: lemonade\: &= \: \ 2 \:per \:cup\\\\\rm\:The\: price\: of\: orange\: juice\:&= \ 3\:per\:cup\\\\\rm\: Total\:sales\: &= \ 240 \end$

The total sales is calculated as price per cup multiplied by number of cup. Here $x$ and $y$ is considered as number of cups of lemonade and orange drink respectively.

Elaborating further, $x$ is multiplied by the price of lemonade and $y$ is multiplied by the price of orange drink which is $2$ and $3$ respectively.

Total sales is the summation of the outcomes of both the variables $2x$ and $3y$.

Therefore, the equation is  $2x+3y=240$.

Learn more about linear equation here:

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