Question

a factory cut its labor frce by 16 percent, but then increase it by 25 percents of the new amount. what was the overall change in the size of the workforce?
A) A 5% decrease
B) No net change
C) A 5% increase
D) A 9% increase
E) A 10% increase

Answer 1

D

Answer 2

Let x be the initial amount. Then the first cut gave them .84x

The increase then gave them .25(.84x)
multiply this out and see what the coefficient of x is.

Answer 3

a decrease in 16% is like multi[lying your original amount by .84

an increase in 25% is like multiplying by 1.25

(.84)(1.25) = 1.05
which is an increase in 5%

Answer 4

err...make that 1.25(.84x)

Answer 5

A(1-.16) = B

B(1+.25) = C

A(1-.16)(1+.25) = C

A/C = percentage changed right?

Answer 6

@ mt bender i got 1.05

Answer 7

thats right :)

Answer 8

which matches joe :) good job. :)

Answer 9

clearly i just need to stop doing any math today...brain is obv not working

Answer 10

yay lol thank you guys :) here ya metal xD