Question

Read the following prompt and type your response in the space provided.

Write a real-world problem that can be represented by the algebraic equation shown.

6x + 5 = 77

Answer 1

Answer is

John needs 77 cupcakes to treat his classmates tomorrow for his birthday. He has 5 cupcakes left over from his party yesterday. His cupcake pan holds 6 cupcakes per batch. How many batches of cupcakes will John need to bake so he has enough cupcakes to treat his class?

6x + 5 = 77

6 cupcakes per batch, x is how many batches, 5 is how many cupcakes he already has, 77 is how many he needs to treat his class.

Answer 2

One real-world problem that can be represented by the algebraic equation 6x + 5 = 77 is determining the number of items that must be sold at a certain price in order to reach a target profit. For example, suppose a business owner wants to make a profit of $77 by selling items for $6 each. The algebraic equation 6x + 5 = 77 can be used to determine the number of items that must be sold in order to reach this profit. In this case, x represents the number of items that must be sold, and the solution to the equation (x = 11) indicates that the business owner must sell 11 items in order to make a profit of $77.