Question

A college student needs 5 classes and a total of 12 credits in preset to complete his degree. The college offers 2 credit classes and 3 credit classes. How many 2-credit and 3-credit classes are there

Answer 1

The student needs 3 two-credit classes and 2 three-credit classes to meet the required 12 credits for 5 classes.

Step-by-step explanation:

The college student needs to take a combination of 2-credit and 3-credit classes to achieve the total of 12 credits over 5 classes. To determine how many 2-credit and 3-credit classes the student needs to take, we can set up a system of equations:

• Let x be the number of 2-credit classes.
• Let y be the number of 3-credit classes.

Then the two equations are:

1. x + y = 5 (the total number of classes)
2. 2x + 3y = 12 (the total number of credits)

To solve for x and y, we can multiply the first equation by 2, which gives us 2x + 2y = 10, and then subtract it from the second equation:

2x + 3y = 12 -(2x + 2y = 10)

This leaves us with y = 2. Substituting y = 2 into the first equation, x + 2 = 5, gives us x = 3.

Therefore, the student needs to take 3 two-credit classes and 2 three-credit classes to complete the degree requirements.