The total number of students in a class is 65. If the total number of girls in class 35, then the ratio of the total number of boys to the number of girls is:
6 : 7
This problem involves finding the ratio between the number of boys and the number of girls in a class, given the total number of students and the number of girls.
First, we need to determine the number of boys in the class. We know the total number of students and the number of girls.
To find the number of boys, we subtract the number of girls from the total number of students:
Number of boys = Total students - Number of girls
Number of boys = $65 - 35$
Number of boys = $30$
So, there are 30 boys in the class.
The question asks for the ratio of the total number of boys to the number of girls. A ratio compares two quantities.
The ratio is expressed as:
Ratio = (Number of boys) : (Number of girls)
Substituting the values we have:
Ratio = $30 : 35$
Ratios are often simplified to their lowest terms. To simplify the ratio $30 : 35$, we need to find the greatest common divisor (GCD) of 30 and 35.
The greatest common divisor (GCD) of 30 and 35 is 5.
Now, we divide both parts of the ratio by the GCD:
Therefore, the simplified ratio of boys to girls is $6 : 7$.
The final calculated ratio of the total number of boys to the number of girls in the class is $6 : 7$.
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