Question

5. In a class of 55 students, the number of girls
is 5/6 times the number of boys. Find the
number of boys and girls in the class.
​

Answer 1

Answer:

total students=55

no. of boys=y

therefore no. of girls=5/6*y

                               

Step-by-step explanation:

Answer 2

Step-by-step explanation:

$let \: the \: number \: of \: boys = x$

$girls \: = \frac{5x}{6}$

$x + \frac{5x}{6} = 55$

$\frac{x}{1} + \frac{5x}{6} = 55$

$\frac{x \times 6}{1 \times 6} + \frac{5x}{6} = 55$

$\frac{6x + 5x}{6} = 55$

$\frac{11x}{6} = 55$

$11x = 55 \times 6$

$x = \frac{330}{11} = 30$

$number \: of \: boys = 30$

$number \: of \: girls \: = \frac{5x}{6} = \frac{5 \times 30}{6} = \frac{150}{6} = 25$