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At a certain company, 25 percent of the employees are male [#permalink]

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05 Jan 2011, 17:37

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At a certain company, 25 percent of the employees are male and 50 percent of the employees are sales staff. What is the number of employees at this company?

(1) Exactly 7 of the employees at the company are males who are sales staff. (2) There are 16 more female employees than male employees at the company.

Great question. Initially threw me off and I wasted a lot of time because I thought was a percent/sets question but it's just alegbra.

1) Exactly 7 of the employees at the company are males who are sales staff. This does not give us information about males not on the sales staff, women on sales staff etc. Not sufficient 2) There are 16 more female employees than male employees at the company This gives us: w = m + 16 .75total = w .25total = m Substitute into first equation you have .75total = .25total + 16 Sufficient

Re: At a certain company, 25 percent of [#permalink]

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05 Jan 2011, 23:28

ajit257 wrote:

At a certain company, 25 percent of the employees are male and 50 percent of the employees are sales staff. What is the number of employees at this company?

(1) Exactly 7 of the employees at the company are males who are sales staff. (2) There are 16 more female employees than male employees at the company.

Let M be number of males Let S be number of sales staff

M=25% S=50%

1) M&S = 7 We cant find the total since we know nothing about what percentage of total employees is 7, and that just males and sales staff may not make up the entire employee set

2) F = M+16 and we know M is 25% So F is 75% 3M = M + 16 M=8 Total employees=M+F=32

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