<PRE><B>Question 1163227</B>
In a class of 52 students 16 are science students.
 If 1/3 of the boys and 1/4 of the girls science students, how many boys are in the class?
:
let b = no. of boys
then since the total students is 52,
(52-b) = no. of girls
:
{{{1/3}}}b + {{{1/4}}}(52-b) = 16
get rid of the denominators, multiply equation by 12
4b + 3(52-b) = 12 * 16
4b + 156 - 3b = 192
4b - 3b = 192 - 156
b = 36 boys in the class.
:
:
See if that checks out
52 - 36 = 16 girls
{{{1/3}}}(36) + {{{1/4}}}(16) =
12 + 4 = 16</PRE>