Digital PSAT Math Practice Question 327: Answer and Explanation

Question: 327

If $\frac{1}{4}a+\frac{1}{3}b=2$, what is the value of $3a+4b$?

• A. 4
• B. 18
• C. 24
• D. 36

Correct Answer: C

Explanation:

(C) To format the equation like $3\text{a}+4\text{b}$, multiply the entire equation by 12:

Because there are two variables with just one equation, you need to do some sort of manipulation like this; a and b cannot be solved for individually without having another intersecting equation.