Q:

Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school. If 40 percent of all employees are male, what percent of all the employees attend night school?

Accepted Solution

A:
26% of all the employees attend night schoolStep-by-step explanation:The given is:Within a computer service company, 20 percent of the male employees and 30 percent of the female employees attend night school40 percent of all employees are maleWe need to find what percent of all the employees attend night schoolAssume that the number of all employees is x∵ The company has x employees∵ 40 percent of all employees are male- Find 40% of x∵ 40% × x = [tex]\frac{40}{100}[/tex] × x = 0.4 x∴ The number of the male employees is 0.4 x- Subtract 0.4 x from x to find the number of the female employees∵ The number of female employees = x - 0.4 x = 0.6 x∴ The number of the female employees is 0.6 x∵ 20 percent of the male employees attend night school- Multiply 20% by 0.4 x to find the number of male employees    who attend night school∴ The number of male who attend night school = 20% × 0.4 x∴ The number of male who attend night school = [tex]\frac{20}{100}[/tex] × 0.4 x∴ The number of male who attend night school = 0.08 x∵ 30 percent of the female employees attend night school- Multiply 30% by 0.6 x to find the number of female employees    who attend night school∴ The number of female who attend night school = 30% × 0.6 x∴ The number of male who attend night school = [tex]\frac{30}{100}[/tex] × 0.6 x∴ The number of male who attend night school = 0.18 xAdd the number of male and female who attend night school∵ 0.08 x + 0.18 x = 0.26 x∴ The number of male and female who attend night school is 0.26 x- Find the percentage of 0.26 x of x∵ [tex]\frac{0.26x}{x}[/tex] × 100% = 26%∴ 26% of all the employees attend night school26% of all the employees attend night schoolLearn more:You can learn more about the percentage in brainly.com/question/6871421#LearnwithBrainly