Question

1.)The ratio of the number of boys and girls in class is 10:7. If there are 35 girls, find the number of boys.

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Answer 1

`\bold{\huge{\blue{\underline{ Solution }}}}`

Given :-

• The ratio of the number of boys and girls images class is 10 : 7
• There are 35 girls in the class

To Find :-

• We have to find the the number of boys in a class ?

Let's Begin :-

Let the boys be 10x and girls be 7x

It is given in the question that,

• Number of girls in a class is 35

Therefore,

The value of x will be

`\sf{ 7x = 35 }`

`\sf{ x = }{\sf{( 35)/(7)}}`

`\bold{\red{x = 5 }}`

Thus, The value of x is 5

Therefore,

The number of boys in a class will be

`\bold{\red{10 × 5 = 50 }}`

Hence, There are 50 boys in a class

`\bold{\huge{\blue{\underline{ Verification }}}}`

According to the question,

The total strength of class will be

`\bold{\green{10x + 7x = 17x ...eq(1) }}`

Subsitute the value of x in eq( 1 ) :-

`\sf{ 10(5) + 7(5) = 17(5)}`

`\sf{ 50 + 7(5) = 17(5)}`

`\sf{ 50 + 35 = 17(5)}`

`\bold{ 85 = 85}`

`\bold{\pink{LHS = RHS }}`

Hence, It is verified that there are 50 boys and 35 girls in a class.

Answer 2

There are 50 boys.

Step-by-step explanation:

Basic calculation:
`(35)/(7) * 10` → 50 boys.