In , a class the number of girls is 20% more than that of boys.The strength of the class is 66.If 4 more girls are join to the class, the ratio of the number of boys to that of the girl is:4:33:42:33:2
Question
In , a class the number of girls is 20% more than that of boys.The strength of the class is 66.If 4 more girls are join to the class, the ratio of the number of boys to that of the girl is:4:33:42:33:2
Solution
Let's solve this step by step:
Step 1: Let's assume the number of boys in the class is x. According to the problem, the number of girls is 20% more than the boys. So, the number of girls is 1.2x.
Step 2: The total strength of the class is given as 66. So, we can set up the equation: x (boys) + 1.2x (girls) = 66.
Step 3: Solving this equation gives us x = 30. So, there are 30 boys and 36 girls (since 1.2*30 = 36).
Step 4: Now, if 4 more girls join the class, the number of girls becomes 40.
Step 5: The ratio of the number of boys to the number of girls is now 30:40, which simplifies to 3:4.
So, the answer is 3:4.
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