# shen percent of increase

by shen
(malaysia)

A factory has 800 workers. 40% of them are females. The management decides to

employ more female workers to cope with the increasing demands of the workload

such that the total number of females will increase to 60% of the total workforce.

How many new female workers must the factory employ?

Solution

How many female workers do they have now before hiring more?

Find 40% of 800

40% of 800 is equal to 0.40 × 800 = 320.

Now it is a percent of increase problem.

Percent of increase = (final amount - original amount) ÷ original amount

Percent of increase = 60%

Final amount = x

Original amount = 3200

60% = (x - 320) ÷ 320

Simplify the right side. We do this by dividing x by 320 and 320 by 320.

We get the following:

0.60 = x/320 - 1

x/320 - 1 = 0.60

x/320 = 1.60

Multiply both sides by 320

(x/320) × 320 = 320 × 1.60

x = 512

512 - 320 = 192.

They must hire 192 female workers

### Comments for shen percent of increase

Average Rating Oct 26, 2016 Rating I think this is incorrect NEW by: CJB hmm... this seems wrong to me. Question states: total number of females will increase TO 60% of the total workforce the answer given is increasing the female workforce BY 60% (and is not of the total workforce. workforce: 800 40% female = 320 so, 60% male = 480 if increasing to 60% female, this means male will be 40% so, 480 males is 40% of new workforce so must be 60% female = 720 so increase from 320 to 720 means they need to employ 400 females answer is 400, not 192

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