Question

Translate each sentence into an equation.

Thirty-two divided by y is equal to the product of three and y minus four.

Short answer

The equation of the given statement is $\frac{32}{y}=3(y-4)$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’Thirty-two divided by y is equal to the product of three and y minus four’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, thirty-two divided by y, in algebraic expression can be expressed as

$\frac{32}{y}$

And the statement, the product of three and y minus four, can be expressed as

$3(y-4)$

Step 3. Conclusion.

Now, as per the given statement, both the expression found above are the same. So, to get the required equation, just equate both the expressions.

Hence, the equation of the given sentence is:

$\frac{32}{y}=3(y-4)$.