Problema Solution

68% of John's school are boys and there are 180 more boys than girls. How many students are there totally?

Answer provided by our tutors

let


b = the number of boys

g = the number of girls

b + g = the total number of students


68% of John's school are boys


0.68(b + g) = b


there are 180 more boys than girls


b = 180 + g


by solving the system


0.68(b + g) = b

b = 180 + g


we find


b = 340 boys


g = 160 girls


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b + g = 340 + 160 = 500 students


there are 500 students in total.