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Question

A picnic is being planned in a school for Class VII. Girls are 60% of the total number of students and are18 in number. The picnic site is 55kmfrom the school and the transport company is charging the rate of Rs12perkm. The total cost of refreshments will be Rs4280. Find the ratio of the number of girls to the number of boys in the class?


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Solution

Step 1 - Finding the total number of students

Let the total students be x

Number of girls =60%of the total number of students

18=60% of x

18=60100×xofmeansmultiplication18=60x10018=6x10x=18×106x=3×10x=30

The total number of students is 30

Step 2- Ratio of the number of girls to the number of boys

Now, the number of boys =Total number of students -number of girls

the number of boys=30-18

the number of boys =12

thenumberofgirlsthenumberofboys=1812=32

Hence, the required ratio is 3:2


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