A total of 570 pupils sat for the Chinese test. ⁴₅ of the girls and ⁹₁₀ 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 - ⁹₁₀
= ¹₁₀

Number of girls and boys that passed the test is the same. Make the numerators the same.
¹₅ Girls = ¹₁₀ Boys

Total number of girls = 5 u
Total number of boys = 10 u

Total number of pupils
= 5 u + 10 u
= 15 u

15 u = 570

1 u = 570 ÷ 15 = 38

Number of girls that failed the test = 4 u
Number of boys that failed the test = 9 u

Number of more boys than girls who failed the test
= 9 u - 4 u
= 5 u
= 5 x 38
= 190

Answer(s): 190