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hammer [34]
1 year ago
14

The ratio of boys to girls in a classroom is 2 : 3. If there are

Mathematics
2 answers:
padilas [110]1 year ago
6 0
<h3>Question -:</h3>

The ratio of boys and girls in a classroom is 2 : 3 respectively. If the total number of children is 20. How many boys are there in the class ?

<h3>Explanation -:</h3>

In this question we are provided with the ratio of boys isto girls that is 2 : 3 it is also given that total number of children are 20. We are asked to calculate number of boys.

\green{ \small \pmb{\tt{ First  \: we  \: will \:  form  \: an \:  equation }}}

<u>Let </u><u>us </u><u>assume </u><u>the </u><u>number </u><u>of </u><u>girls </u><u>as </u><u>3</u><u>x </u><u>and </u><u>number </u><u>of </u><u>boys </u><u>as </u><u>2</u><u>x</u><u>.</u>

Total number of children = 20

3x + 2x = 20

\orange{\small \pmb{\tt{ Now \:  we \:  will \:  solve \:  this \:  equation }}}

\small\frak{ 3x + 2x = 20}

\small\frak{ 5x = 20}

\small\frak{ x =  \dfrac{20}{5}  = 4}

\small \underline{ \boxed{\pmb{x = 4} }}  \large \: \star

Boys = 2 × 4 = 8

Girls = 3 × 4 = 12

  • Hence 8 boys and 12 girls are there in the classroom.

\tiny \tt{spbankingandsscseries}

abruzzese [7]1 year ago
3 0

Answer:

8

Step-by-step explanation:

let the ratio constant be 'x'

=> 2x:3x

sum = 2x + 3x = 5x

Total number of boys

=>(2x/5x)20 = 8

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solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

<u>Solving by substitution</u>

Solve either equation for one variable. For example,

7M - 2t = -30   ⇒   t = (7M + 30)/2

Substitute this into the other equation and solve for M.

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7M - 2t = -30   ⇒   -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115   ⇒   10t - 24M = 230 … (multiply by 2)

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It follows that

7 × (80/11) - 2t = -30

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