Question

Translate the following sentence into an equation:

“The quotient of t and forty is the same as twelve minus half of u”.

Short answer

The equation is $\frac{t}{40}=12-\frac{1}{2}u$.

Step-by-step solution

Step 1. Given information.

The given sentence is:

The quotient of t and forty is the same as twelve minus half of u.

Step 2. Break the sentences.

The expression for the quotient of t and forty is $\frac{t}{40}$.

And the expression for half of u is $\frac{1}{2}u$.

Step 3. Write the equation.

Since $\frac{t}{40}$is same as twelve minus $\frac{1}{2}u$.

Therefore,

$\frac{t}{40}=12-\frac{1}{2}u$