Question 1163227
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The solution from the other tutor is fine....<br>
Given the way the information is given, I would prefer to use two variables, leading to a solution using elimination.<br>
The total number of students is 52:
(1) {{{b+g = 52}}}<br>
The total number of science students is 16:
(2) {{{(1/3)b+(1/4)g = 16}}}<br>
Multiply (2) by 4 and compare to (1):<br>
{{{(4/3)b+g = 64}}}
{{{b+g = 52}}}
{{{(1/3)b = 12}}}
{{{b = 36}}}<br>
ANSWER: There are 36 boys in the class.<br>
CHECK:
36 boys means 16 girls
(1/3)(36)+(1/4)(16) = 12+4 = 16<br>