The sentence "Three more than the quotient of a number and 4 is 6" can be translated into the following equation:

$\frac{w}{4} + 3 = 6$

Here, $w$ is the unknown number.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you solve for $w$ in the equation $\frac{w}{4} + 3 = 6$?
2. What does "quotient" mean in mathematical terms?
3. If the phrase was "five more than the quotient of a number and 4 is 10," how would the equation change?
4. How can you check if the solution to $w$ is correct after solving the equation?
5. What if the quotient was instead divided by 3? How would the equation change?

Tip: When translating sentences into equations, key terms like "quotient," "sum," "difference," or "product" give clues about which operations to use.