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?
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~ :)
To find out how many first graders were asked their favorite subject, we need to add together the fractions of those who liked math, reading, and science best.
The fraction of first graders who liked math best is 1/6.
The fraction of first graders who liked reading best is 2/3.
We are also given that 12 first graders liked science best.
To find out the total number of first graders who were asked, we need to find a common denominator for 6 and 3, which is 6. Then we convert the fractions to have a common denominator.
1/6 can be converted to 2/12.
2/3 can be converted to 8/12.
Now we can add these fractions together: 2/12 + 8/12 = 10/12.
So, 10/12 of the first graders were asked their favorite subject.
To find the actual number of first graders, we divide the numerator, which is 10, by the denominator, which is 12:
10 ÷ 12 = 0.83
Since we are dealing with a whole number of first graders, we round up to the nearest whole number.
Therefore, the number of first graders who were asked their favorite subject is 1.