Question

there are 42 students in a class 3/4 of the boys and 2/3 of the girls travelled to school by bus. The total number of boys and girls come to school by bus is 30. How many boys are there in the class ? how many girls come to school by bus​

Answer 1

Answer:

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Step-by-step explanation:

X Boys in the class.

Y Girls in the class.

3x/4 + 2y/3 = 30,

Multiply by 12:

Eq1: 9x + 8y = 360.

x/4 + y/3 = 42-30 = 12,

Multiply by 12:

Eq2: 3x + 4y = 144.

Multiply Eq2 by -3 and add:

9x + 8y = 360

-9x - 12y = -432

Sum: -4y = -72, Y = 18.

3x + 4*18 = 144, X = 24.

Answer 2

Answer:

Number of boys in the class = 24

Number of girls comingtoschool by bus = 12

Step-by-step explanation:

Number of students in class = 42

Let the number of boys in class = x

Then number of girls in 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 x 12 = 24

Hence, number of boys in class is 24 and number of girls coming to school by bus

= 2(42-24)/3 = 12