In a class, there are $18$ boys who are over $160 c m$ tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

6

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Solution

The correct option is B $12$
Let the number of boys be $x$ . Then, $(3 / 4) x = 18$ or $x = 18 \times (4 / 3) = 24$ .
If total number of students is $y$ , then $(2 / 3) y = 24$ or $y = 24 \times (3 / 2) = 36$ .
Therefore Number of girls in the class $= (36 - 24) = 12$ .

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Q. In a class, there are 18 boys who are over 160 em tall. If these constitute three-fourths of the boys and the total number of boys is two-third of the total number of students in the class, what is the number of girls in the class?

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In a class, there are 18 boys who are over 160cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

The correct option is B 12Let the number of boys be x. Then, (3/4)x=18 or x=18×(4/3)=24.If total number of students is y, then (2/3)y=24 or y=24×(3/2)=36.Therefore Number of girls in the class =(36−24)=12.

In a class, there are $18$ boys who are over $160 c m$ tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class?

The correct option is B $12$
Let the number of boys be $x$ . Then, $(3 / 4) x = 18$ or $x = 18 \times (4 / 3) = 24$ .
If total number of students is $y$ , then $(2 / 3) y = 24$ or $y = 24 \times (3 / 2) = 36$ .
Therefore Number of girls in the class $= (36 - 24) = 12$ .