Question

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 54 credits after completing a total of 16 courses.

How many courses worth 3 credits did the student complete?
3
10
21
38

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let x be the number of courses worth 3 credits and y be the number of courses worth 4 credits.

From the given information, we have the following equations:
x + y = 16 (total number of courses)
3x + 4y = 54 (total number of credits)

Solving the first equation for y, we get:
y = 16 - x

Substitute this into the second equation:
3x + 4(16 - x) = 54
3x + 64 - 4x = 54
-x + 64 = 54
-x = -10
x = 10

Therefore, the student completed 10 courses worth 3 credits.