Question

Mike is a part time student at Horizon Community College. He currently has 22 credits, and he plans to take 6 credits per semester until he is finished. Mike's friend Steve is also a student at the collage. He has 4 credits and plans to take 12 credits per semester. After how many semesters will mike and Steve have the same amount of credits?

Answer 1

After 3 semesters, Mike and Steve will both have the same number of credits at Horizon Community College. This conclusion was reached by setting and solving an equation for each of their credit accumulations per semester.

Step-by-step explanation:

To determine after how many semesters Mike and Steve will have the same amount of credits at Horizon Community College, we will use a basic algebraic approach. Mike starts with 22 credits and will take 6 credits per semester, while Steve starts with 4 credits and will take 12 credits per semester. We'll set up an equation for each student to represent the total number of credits they will have after a certain number of semesters (x).

Mike's credits: 22 + 6x
Steve's credits: 4 + 12x

To find out when they will have the same number of credits, we set the equations equal to each other:

22 + 6x = 4 + 12x

Solving for x:

1. Subtract 6x from both sides: 22 = 4 + 6x
2. Subtract 4 from both sides: 18 = 6x
3. Divide both sides by 6: x = 3

So, after 3 semesters, Mike and Steve will have the same number of credits.