A company has 24,000 empioyees. \( 40 \% \) work in the IT department and of those. "\$ are sottware engineers. Each software engineer gets a \( 12 \% \) salary bonus at the end of the year (a) How many employees are software engineers? (b) If each software engineer earns an average of \( \$ 90,000 \) per year how much total bonus money is paid?

To find how many employees are software engineers, we start by determining how many work in the IT department. Since \( 40\% \) of 24,000 employees work in IT, that's \( 0.40 \times 24,000 = 9,600 \) employees in IT. If we assume a certain percentage \( x \) of these are software engineers, we can express the number of software engineers as \( 9,600x \). (You didn’t specify \( x \), so let’s keep it general.) Now for the total bonus paid out to software engineers: If there are \( 9,600x \) software engineers and each earns an average of \( \$ 90,000 \) with a \( 12\% \) bonus, we can calculate the total bonus amount as follows: Total bonus per software engineer is \( 0.12 \times 90,000 = \$ 10,800 \). So, the total bonus for all software engineers is \( 10,800 \times 9,600x \). Hence, the total bonus money paid is \( 103,680,000x \). You're close to a fun calculation here!