SOLUTION: Hi there are 403 workers in a factory.3/5 of the male workers and 3/4 of the female workers are local.the rest are foreigners. If there were an equal number of male and female fo

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Question 1103364: Hi
there are 403 workers in a factory.3/5 of the male workers and 3/4 of the female workers are local.the rest are foreigners. If there were an equal number of male and female foreign workers, how many female workers were local.
thanks
Found 2 solutions by Theo, richwmiller:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
let m equal the number of males.
let f equal the number of females.

3/5 * m + 3/4 * f = local.

this makes 2/5 * m + 1/4 * f = foreign.

local + foreign = total.

this makes m + f = 403.

you are given that the number of foreign males and foreign females is equal.

this means that 2/5 * m = 1/4 * f

solve for f to get f = 8/5 * m

in the equation of m + f = 403, replace f with 8/5 * m to get:

m + 8/5 * m = 403

combine like terms to get 13/5 * m = 403.

solve for m to get m = 5 * 403 / 13 = 155.

since m + f = 403, this makes f = 248.

you have m = 155 and f = 248.

you know that 3/5 * m + 3/4 * f = local.

this means that 3/5 * 155 + 3/4 * 248 = local.

this makes 93 males and 186 females that are local.

you know that 2/5 * m + 1/4 * f = foreign.

this means that 2/5 * 155 + 1/4 * 248 = foreign

this makes 62 males and 62 females are foreign.

since the number of males and females that are foreign are supposed to be equal, this confirms the equations are correct.

if you made a table, it would look like this: 



                      local           foreign           total


    male               93                62               155

    female            186                62               248

    total             279               124               403


from this table, it's easy to see that the number of local females is 186.








Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
What is not in the female circle is male.
I used
l for local
f for foreign
b for boys male
g for girls female

There are 403 workers in a factory.3/5 of the male (b) workers and 3/4 of the female (g) workers are local (l).the rest are foreigners (f). If there were an equal number of male (b) and female (g) foreign (f) workers (x),
set up

calculations

final solution
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