A total of 550 students sat for the Mathematics mock test. ³₄ of the girls and ⁶₇ of the boys passed the mock test. The same number of boys and girls failed the mock test. How many more boys than girls passed the mock test?
Fraction of the girls that failed the mock test
= 1 - ³₄
= ¹₄

Fraction of the boys that failed the mock test
= 1 - ⁶₇
= ¹₇

Number of girls and boys that failed the mock test is the same. Make the numerators the same.
¹₄ Girls = ¹₇ Boys

Total number of girls = 4 u
Total number of boys = 7 u

Total number of students
= 4 u + 7 u
= 11 u

11 u = 550

1 u = 550 ÷ 11 = 50

Number of girls that passed the mock test = 3 u
Number of boys that passed the mock test = 6 u

Number of more boys than girls who passed the mock test
= 6 u - 3 u
= 3 u
= 3 x 50
= 150

Answer(s): 150