In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?Options2030Data inadequate25
Question
In a class of 60 students, the number of boys and girls participating in the annual sports is in the ratio 3 : 2 respectively. The number of girls not participating in the sports is 5 more than the number of boys not participating in the sports. If the number of boys participating in the sports is 15, then how many girls are there in the class ?Options2030Data inadequate25
Solution
The problem states that the ratio of boys to girls participating in sports is 3:2. We know that the number of boys participating in sports is 15.
Step 1: Determine the number of girls participating in sports. Since the ratio of boys to girls is 3:2, and we know there are 15 boys, we can set up the following equation to find the number of girls (G): 15/3 = G/2 Solving for G gives us G = 10. So, there are 10 girls participating in sports.
Step 2: Determine the number of boys not participating in sports. The total number of students in the class is 60. We know that 15 boys and 10 girls are participating in sports, so the number of students not participating in sports is 60 - 15 - 10 = 35.
Step 3: Determine the number of girls not participating in sports. The problem states that the number of girls not participating in sports is 5 more than the number of boys not participating in sports. Let's denote the number of boys not participating in sports as B. We can set up the following equation: B + (B + 5) = 35 Solving for B gives us B = 15. So, there are 15 boys and 20 girls not participating in sports.
Step 4: Determine the total number of girls in the class. The total number of girls in the class is the number of girls participating in sports plus the number of girls not participating in sports. So, the total number of girls is 10 + 20 = 30.
So, the answer is 30.
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