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.

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

$\sf{ 7x = 35 }$

$\sf{ x = }{\sf{\dfrac{ 35}{7}}}$

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

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

Answer:

There are 50 boys.

Explanation:

Basic calculation: $\frac{35}{7} * 10$ → 50 boys.