A total of 930 pupils sat for the Science exam. ¹₃ of the girls and ⁵₇ of the boys passed the exam. The same number of boys and girls failed the exam. How many more boys than girls passed the exam?
Fraction of the girls that failed the exam
= 1 - ¹₃
= ²₃

Fraction of the boys that failed the exam
= 1 - ⁵₇
= ²₇

Number of girls and boys that failed the exam is the same. Make the numerators the same.
²₃ Girls = ²₇ Boys

Total number of girls = 3 u
Total number of boys = 7 u

Total number of pupils
= 3 u + 7 u
= 10 u

10 u = 930

1 u = 930 ÷ 10 = 93

Number of girls that passed the exam = 1 u
Number of boys that passed the exam = 5 u

Number of more boys than girls who passed the exam
= 5 u - 1 u
= 4 u
= 4 x 93
= 372

Answer(s): 372