A total of 1040 pupils sat for the Mathematics exam. ¹₂ of the girls and ⁵₆ of the boys failed the exam. The same number of boys and girls passed the exam. How many more boys than girls failed the exam?
Fraction of the girls that passed the exam
= 1 - ¹₂
= ¹₂

Fraction of the boys that passed the exam
= 1 - ⁵₆
= ¹₆

Number of girls and boys that passed the exam is the same. Make the numerators the same.
¹₂ Girls = ¹₆ Boys

Total number of girls = 2 u
Total number of boys = 6 u

Total number of pupils
= 2 u + 6 u
= 8 u

8 u = 1040

1 u = 1040 ÷ 8 = 130

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

Number of more boys than girls who failed the exam
= 5 u - 1 u
= 4 u
= 4 x 130
= 520

Answer(s): 520