Question

6. COLLEGE Duke is a part-time student

at Horison Community College. He
currently has 22 credits, and he plans
to take 6 credits per semester until he
is finished. Duke's friend Kala is also
a student at the college. She has 4
credits and plans to take 12 credits
per semester. After how many
semesters will Duke and Kila have
the same number of credits?

Answer 1

Explanation:

To find the number of semesters it will take for Duke and Kala to have the same number of credits, we can set up an equation based on their current credits and credits earned per semester.

Let x be the number of semesters.

For Duke:

Credits = 22 + 6x

For Kala:

Credits = 4 + 12x

To find the number of semesters when they have the same number of credits, we set their credit equations equal to each other:

22 + 6x = 4 + 12x

Rearranging the equation, we get:

6x - 12x = 4 - 22

-6x = -18

Dividing both sides by -6:

x = 3

Therefore, Duke and Kala will have the same number of credits after 3 semesters.