Math, asked by SKASHU, 2 months ago

20. The ratio between the number of boys and girls in a class is 8: 7. If there are 48 boys in the
class, find the
(a) number of girls in the class.
(b) total number of students in the class.​

Answers

Answered by arbindsingh37213
0

Answer:

Let the common ratio between number of boys and girls be x

Number of boys =7x

Number of girls =5x

As per the question,

Number of boys = Number of girls +8

7x=5x+8

Transpose 5x to LHS, we will get

7x−5x=8

2x=8

Divide both sides by 2

x=4

No. of boys =7x=7×4=28

No. of girls =5x=5×4=20

Total class students 28+20=48

Please mark me as a

Answered by Anonymous
43

Given: The ratio between the number of boys and girls in a class is 8: 7 and there are 48 boys in the class

Need To Find: number of girls in the class and total number of students in the class.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀

⧠ Let , the number of Boys in the class be 8x and the number of girls be 7x

\\

{ \sf{ \underline{ \bigstar \: According  \: to \: the \: question : }}}

We know that,

  • ➪ No. of boys = {\bf{\gray{48}}}

\\

Let's find the value of x and then multiply it with 7 to find the number of girls

\\

  {\bf{ \blue{\leadsto \: 48 = 8x}}} \\  \\ \\   {\bf{ \blue{\leadsto \: x =   \cancel\frac{48}{8} \:  }}} \\  \\  \\  {\bf{ \blue{\leadsto \: x= 6 \bigstar}}}

\\

Now, let's find the number of girls :

\\

 \longrightarrow \tt \: the \: no.of \: girls \:  = 6 \times 7 \\  \\  \\ \longrightarrow \tt \: the \: no.of \: girls \:  =42 \bigstar \:  \:

\\

 \orange{ \underline{ \frak{Hence, The \:  number \: of  \: girls \: are \:  42 }}}

\\

Now , let's find the total students in the class:

 \\

\longrightarrow \tt \: the \: no.of \: students \:  = \: 42 + 48 \\  \\  \\ \longrightarrow \tt \: the \: no.of \: students \:  = 90 \dag \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

 \\

 \orange{ \underline{ \frak{Hence,The \:  number \: of  \: students  \: are \:  90 }}}

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