Solving the Mathematical Word Problem

The question asks us to perform two operations based on a description and then combine the results. We need to carefully interpret the phrasing.

The two parts are:

• Dividing sixty by half.
• Adding half of forty to the result of the first part.

Dividing Sixty by Half

The first part is "dividing sixty by half". Dividing a number by half (which is \( \frac{1}{2} \)) is the same as multiplying the number by the reciprocal of \( \frac{1}{2} \). The reciprocal of \( \frac{1}{2} \) is 2.

So, dividing sixty by half is:

\( 60 \div \frac{1}{2} \)

This can be calculated as:

\( 60 \times 2 = 120 \)

The result of the first step is 120.

Calculating Half of Forty

The second part involves finding "half of forty". Finding half of a number means multiplying the number by \( \frac{1}{2} \) or dividing it by 2.

So, half of forty is:

\( \frac{1}{2} \times 40 \)

This can be calculated as:

\( \frac{1}{2} \times 40 = \frac{40}{2} = 20 \)

The result of the second calculation is 20.

Combining the Results

The problem states "adding half of forty yields" the final answer, meaning we add the result of the second part (20) to the result of the first part (120).

So, the final calculation is:

\( 120 + 20 = 140 \)

Let's summarize the steps:

The final result is 140.