Question

the ratio of the number of girls to the number of boys in a class4:3 if the number of girls is 8more that boys find the total number of boys and girls in the class​

Answer 1

Answer:

Boys =24

Girls =32

Step-by-step explanation:

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Answer 2

Question:

The ratio of the number of girls to the number of boys in a class is 4:3. If the number of girls is 8 more than boys, find the total number of boys and girls in the class.

Solution :

$\underline{\bold {Given :}}$

• The ratio of the number of girls to the number of boys in the class = 4:3
• The number of girls is 8 more than the number of boys.

$\underline{\bold {To\:Find :}}$

• The total number of boys and girls in the class .

Let the total number of girls be 4x.

Then, the total number of boys = 3x

It is given that the total number of girls is 8 more than the total number of boys.

$\therefore{4x=3x+8}$

$\implies 4x = 3x + 8 \\ \implies 4x - 3x = 8 \\ \implies x = 8$

$\implies Total \: number \: of \: girls = 4 \times 8 \\\implies Total \: number \: of \: girls = 32$

$\implies Total \: number \: of \: boys = 3 \times 8 \\ \implies Total \: number \: of \: boys = 24$

$\boxed {\green {\therefore{The\: total\:number\: of \:boys\:and\:girls\:in\:the\:class=32+24=56 }}}$