I need help with a math problem?

A corporation is trying to figure out how many workers carpool.

There are 1/3 workers work in NYC and 36.5% of them carpool.

There are 1/2 workers in Chicago and 62.5%d of them carpool.

The rests of the workers ddon't carpool.

Fraction of workers who carpool is given by

1/3 (36.5%) + 1/2 (62.5%)

= 1/3*365/1000 + 1/2*625/1000

= 365/3000 + 625/2000

= [365*2 + 625*3] / 6000

= 2605/6000

= 521/1200 ANSWER

I believe (but I might be wrong) that we don't have all the information.

If 1/2 the workers are at location A

And 1/3 the workers are at location B

Then 1/2 = 3/6 of the workers

And 1/3 = 2/6 of the workers

3/6 + 2/6 = 5/6 which means 1/6 of the workers are unaccounted for - they must work at location C. What percentage of these workers carpool?

Let the total no of workers be 300x

1/3 = 100x X 36.5/100 = 36.5x

1/2 = 150x X 62.5/100 = 93.75x

ADD = 130.25x

% = 130.25 /300 X 100 = 43.42 % OR 43.42/ 100 ANSWER