translating sentences into equations

Question

three times the quotient of 4 less than a number m and 10 is 3

 

Answer 1

Start at the end, we know the right side of the equation will equal 3.

 

Quotient: a result obtained by dividing one quantity by another. So we need two numbers, a numerator and a denominator.

 

We have "4 less than a number m" and "10." Let's rewrite as (m-4) and (10). Now divide (m-4) by 10, and put it on the left side of the equation.

 

But we're not done! We have to multiply the quotient by 3. So ...

 

3 (( m-4 ) / 10) = 3

 

(Best to rewrite the rational expression as a fraction, not easy to type it though)

 

Double check, do you have to solve for m?