There are 42 students are in the class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30 (a) How many boys are there in the class?(b) How many girls travel to school by bus?​

Answers (1)

Total number of students in class = 42

Let's assume the number of boys in class = x

Then number of girls in the class = (42 - x)

According to the question

3x/4 + 2(42 - x)/3 = 30

⇒ 3x/4 + 28 - 2x/3 = 30

⇒ 9x/12 - 8x/12 = 30 - 28

⇒ x/12 = 2

⇒ x = 2 × 12 = 24

Hence, number of boys in class = 24

Number of girls coming to school by bus = 2(42 - 24)/3 = 12

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