Question

7. The boys and the girls in a school are in the ratio 9 : 5. If the total strength of the school is
448, find the number of girls.
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Answer 1

☆ Solution ☆

Given :-

• The boys and the girls in a school are in the ratio 9 : 5. If the total strength of the school is 448.

To Find :-

• The number of girls.

Step-by-Step-Explaination :-

Let the ratios be 9x and 5x

According to the question,

9x + 5x = 448

14x = 448

x = 448/14

x = 35

So,

Number of boy = 9 × 35 = 288

Number of girl = 5 × 35 = 160

Hence,

The Number of girl = 160.

Answer 2

Given :-

• Ratio if boys and girls = 9 : 5.

• Total strength ( Boys + Girls ) = 448.

To Find :-

• No. of girls

Solution :-

Let,

• Boys = 9x

• Girls = 5x

➞ 9x + 5x = 448.

➞ 14x = 448.

➞ x = 448/14

➞ x = 35

So,

• Boys = 9x = 9(35) = 288

• Girls = 5x = 5(35) = 160

☯ Verification :-

➞ 9x + 5x = 448

➞ 9(35) + 5(35) = 448

➞ 288 + 160 = 448

➞ 448 = 448

LHS = RHS

Hence, Verified