Let's assume that there are a total of x girls in the class.
According to the given information, 3/4 of the girls play basketball. So, the number of girls playing basketball is 3/4 * x.
Similarly, 4/7 of the girls play volleyball. So, the number of girls playing volleyball is 4/7 * x.
Since every girl plays at least one of these games, we can add the two numbers above to get the total number of girls who play either basketball or volleyball.
Number of girls playing either basketball or volleyball = 3/4 * x + 4/7 * x
Now, we are given that 27 girls play both games. So, we need to subtract this number from the total number of girls playing either basketball or volleyball.
Total number of girls playing either basketball or volleyball - Number of girls playing both games = x
(3/4 * x + 4/7 * x) - 27 = x
Multiplying both sides of the equation by 28 to clear the fractions:
21x + 16x - 756 = 28x
37x - 756 = 28x
Subtracting 28x and adding 756 to both sides of the equation:
37x - 28x = 756
9x = 756
Dividing both sides of the equation by 9:
x = 756 / 9
x = 84
Therefore, there are 84 girls in the class.
3/4of the girls in sssq play basketball and 4/7 play volleyball . every girl plays at least one of these games.if 27 girls play both games , how many girls are there in the class
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