Question

In an iub class there are 15 girls with average score of 43 on mathematics test while boys have average score of 48. If the average score of whole class is 45. Then how many boys are there in the class?

Answer 1

Answer:

Step-by-step explanation:

Let the number of boys be x.

Total score of girls = 15 * 43 =  645

Total score of boys = x * 48 = 48x.

The total score of whole class = (15 + x) * 45 = 675 + 45x.

The total score of class = Total score of Girls + Total score of Boys

675 + 45x = 645 + 48x

675 - 645 = 48x - 45x

30 = 3x

=> x = 10.

Thus the number of boys is 10.

Answer 2

Answer:

The total number of boys in the class is $10$

Step-by-step explanation:

Given:

• It has been given that there are $15$ girls in the class and their average score in mathematics is $43$.
• The average score of boys in mathematics is $48$.
• The average score of the whole class is $45$.

To Find:

We have to find the number of boys in the class.

Solution:

• Let the number of boys be $x$.
• Total score of girls = $15 \times 43$ =  $645$
• The total score of boys = $x \times 48$ = $48x$
• The total score of the whole class =$(15 +x ) \times 45$ = $675 + 45x$

The total score of class = Total score of Girls + Total score of Boys

$675 + 45x$ = $675 + 48x$

$30 = 3x$

$= > x = 10$

Final Answer:

Hence, the total number of boys in the class is $10$.

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