Posted by **Jacob** on Friday, April 15, 2011 at 12:21am.

Of the first graders who were asked, 1/6 like math best, 2/3 liked reading best, and 12 liked science best. How many were asked their favorite subject?

- Math -
**Jai**, Friday, April 15, 2011 at 1:02am
first we represent unknowns using variables,

let x = the number of students asked

then we set up the equation,, since the given were the fractional parts of the total number, we represent each part as

(1/6)x : the number of students who like math

(2/3)x : the number of students who like reading

thus,

(1/6)x + (2/3)x + 12 = x

(1/6)x + (4/6)x + 12 = x

(5/6)x + 12 = x

12 = x - (5/6)x

12 = (1/6)x

x = 72 students

hope this helps~ :)

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