From the question stem draw out a double matrix. It is easier to solve with a double matrix rather than forming a equation.
Put two columns B for Boys and G for Girls
Put two rows 7 yrs for 7 yrs students and 8 yrs for 8 yrs students
Now take a nice number so that it is easier to work for Eg. 100 for total students.
Fill up the information:
Boys
(B)=80100∗100=80Hence Girls
(G)=20Now find the number of 8 yrs old girl
=20∗25100=5From this find the number of girls who are 7 yrs old =
20−5=15Let x = number of boys that are 7 yrs old
and Y = number of boys that are 8 yrs old
Given,
x+15=y+5also we can deduce
x+y=80solve the two pair of equation to find the value for x and y
x=35andY=45Therefore, % of boys that are 7 yrs old is 35
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