Question

Translate each sentence into an equation.

Three-fourths of w plus 5 are one-half of w increased by nine.

Short answer

The equation of the given statement is $\frac{3}{4}w+5=\frac{1}{2}w+9$.

Step-by-step solution

Step 1. Given information.

We have a sentence ‘’ Three-fourths of w plus 5 is one half of w increased by nine’’.

Translate the given sentence into an equation.

Step 2. Translate equation.

The statement, three-fourths of w plus 5, in algebraic expression can be expressed as

$\frac{3}{4}w+5$

And the statement, one half of w increased by nine, can be expressed as

$\frac{1}{2}w+9$

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:

$\frac{3}{4}w+5=\frac{1}{2}w+9$.