Question

A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 4-credit classes and 3-credit classes.
Which system of equations can be used to determine f, the number of 4-credit classes the student can take to complete her degree, and h, the number of 3-credit classes?
A) f + h = 40
4h + 3f = 11
B) f + h = 11
4h + 3f = 40
C) f + h = 40
4f + 3h = 11
D) f + h = 11
4f + 3h = 40

Answer 1

Answer: The correct answer is Choice D.

In this problem, there are 2 different  equations. The first ones adds the 2 variables together to get a total of 11.
f + h = 11

For the second equation, each four credit class gets multiplied by 4. And each 3 credit class gets multiplied by 3. Then, they are added together to get 40.
4f + 3h = 40