Question 199852: Please help me solve the following problem:
in a certain company, 30 percent of men and 20 percent of women attend night school. If 40 percent of all employees are men, what % of ALL employees attend night school?
Found 2 solutions by RAY100, ankor@dixie-net.com:
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! If 40% of total are men ,,,,then,, 60% are women
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if 30 % of men attend, then .3 * .4 = .12 of total attend
.
If 20 % of women attend, then .2 * .6 = .12 of total attend
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Total attendance is .12 +.12 = .24 or 24% of total
.
check
.
Let 100 = plant Total
40 % are men ,,,,.4 * 100 =40,,of them 30% attend,,40 * .3 =12 men attend
60 % are women = .6 *100 = 60,,,of them 20% attend,, 60 * .20 = 12 women
Total attendance is 12 +12 = 24,,,,or 24 / 100 = 24 %,,,,,ok
Answer by ankor@dixie-net.com(22740)  (Show Source):
You can put this solution on YOUR website! in a certain company, 30 percent of men and 20 percent of women attend night school.
If 40 percent of all employees are men, what % of ALL employees attend night school?
:
Let t = total no. of employees
then
.4t = men
and
.6t = women
:
Let x = per cent of all employees
:
% men + % women = % total go to night school
.3(.4t) + .2(.6t) = xt
:
.12t + .12t = xt
:
.24t = xt
Divide equation by t
.24 = x
:
24% go to night school
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