Question

In how many semesters will Jeff, who currently has 22 credits and plans to take 6 credits per semester, have the same number of credits as Kyle, who has 4 credits and plans to take 12 credits per semester until graduation?

Answer 1

It will take Jeff and Kyle 3 semesters to have the same number of credits.

Step-by-step explanation:

To find out how many semesters it will take for Jeff and Kyle to have the same number of credits, we can set up an equation to solve for the number of semesters. Let x be the number of semesters it will take. Jeff currently has 22 credits and plans to take 6 credits per semester, so Jeff will have 22 + 6x credits. Kyle currently has 4 credits and plans to take 12 credits per semester, so Kyle will have 4 + 12x credits. To have the same number of credits, we can set up the equation: 22 + 6x = 4 + 12x. Now we can solve for x:

22 + 6x = 4 + 12x

Subtracting 6x from both sides:

22 = 4 + 6x

Subtracting 4 from both sides:

18 = 6x

Dividing both sides by 6:

x = 3

Therefore, it will take Jeff and Kyle 3 semesters to have the same number of credits.