A person spends One-fourth of her income for board, one-twelfth for clothes and one-half for other expenses, and saves $10,000. What is her income?

First find a common denominator. What is a common denominator for 4,2,and 12?

Isn't 12

Yes now multiply the 1's on 1/4 and 1/2 by the same number you used for the denominator.

So 3/12, 6/12, 1/12 ?!

Yes. now add all the numerators and not the denominators. What do you get?

I get 10/12

Now multiply your 10/12 by 10,000. What do you get?

I get 8,333

Is this a test or just homework? If it is a test or other type of assessment what are your answer choices?

geeeshhh

let her income be x
(1/4)x + (1/12)x + (1/2)x + 10000 = x
times 12
3x + x + 6x + 120000 = 12x
120000 = 2x
x = 60,000