Question

question:
select the equation that represents the expression:
the quotient of 4 times a number and 3 is 10.
\\(\frac{4}{3n} = 10\\)
\\(4(3n) = 10\\)
\\(\frac{4n}{3} = 10\\)
\\(4n \cdot 3 = 10\\)

Explanation:

Step1: Define the unknown number

Let the unknown number be $n$. 4 times the number is $4n$.

Step2: Set up quotient equation

The quotient of $4n$ and 3 equals 10, so $\frac{4n}{3}=10$.

Step3: Match to options

This matches the third provided option.

Answer:

C. $\boldsymbol{\frac{4n}{3}=10}$