Can you please help with this question:
The cheerleaders are having a bake sale to raise funds for new uniforms. The group sell cupcakes for $3 each and make a profit of $840 from the sales. If X represents the number of cupcakes the cheerleaders sold and their cooking supplies cost them $500, what is an equation that could be used to solve for X?
3x-500 = 840
Sure, I can help you with that!
To solve for X, the number of cupcakes sold, we need to set up an equation based on the given information.
Let's break down the information we have:
1) The cheerleaders sell cupcakes for $3 each. This means that for each cupcake sold, they earn $3.
2) The group makes a profit of $840 from the sales. The profit is the revenue minus the cost, so we can express the profit as the total earnings minus the cost of cooking supplies. In this case, the profit is $840, and the cost of cooking supplies is $500.
Now, let's construct the equation:
Total earnings from selling cupcakes = Total cupcake sales - Cost of cooking supplies
Total earnings from selling cupcakes = $3 * X - $500
In this equation, X represents the number of cupcakes the cheerleaders sold. By multiplying the number of cupcakes sold by $3, we get the total earnings. Subtracting the cost of cooking supplies gives us the profit.
So, the equation that could be used to solve for X is:
$3 * X - $500 = $840