A total of 700 pupils sat for the Science test. ⁴₅ of the girls and ⁸₉ of the boys failed the test. The same number of boys and girls passed the test. How many more boys than girls failed the test?
Fraction of the girls that passed the test
= 1 - ⁴₅
= ¹₅

Fraction of the boys that passed the test
= 1 - ⁸₉
= ¹₉

Number of girls and boys that passed the test is the same. Make the numerators the same.
¹₅ Girls = ¹₉ Boys

Total number of girls = 5 u
Total number of boys = 9 u

Total number of pupils
= 5 u + 9 u
= 14 u

14 u = 700

1 u = 700 ÷ 14 = 50

Number of girls that failed the test = 4 u
Number of boys that failed the test = 8 u

Number of more boys than girls who failed the test
= 8 u - 4 u
= 4 u
= 4 x 50
= 200

Answer(s): 200