Question

Given a company selling cupcakes for $3 each and brownies for $2 each, where c represents the number of cupcakes bought, b represents the number of brownies bought, and T represents the total spent, what does the equation 3c + 2b = 21 signify?

A. It represents the total number of cupcakes and brownies bought together.
B. It calculates the total number of items purchased.
C. It shows the relationship between the number of cupcakes, brownies, and the total amount spent.
D. It computes the average cost of cupcakes and brownies combined.

Answer 1

The equation 3c + 2b = 21 signifies the relationship between the number of cupcakes, brownies, and the total amount spent.

Step-by-step explanation:

The equation 3c + 2b = 21 signifies the relationship between the number of cupcakes, brownies, and the total amount spent.

This is a linear equation where each cupcake costs $3 and each brownie costs $2, and the total amount spent on these items is $21. Therefore, this equation shows how different combinations of cupcake and brownie purchases can add up to the total of $21.

For example, if we let c = 3 and b = 5, the equation would be 3(3) + 2(5) = 21, which means buying 3 cupcakes and 5 brownies would result in a total cost of $21.

Therefore, the correct answer is C. It shows the relationship between the number of cupcakes, brownies, and the total amount spent.