The ratio of the number of the boy and gorl in class is 7:4 . If the number of boys is 18 more than the number of girls, what os the total number of student in class?
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Given :
- The ratio of the number of the boy and gorl in class is 7 : 4.
- The number of boys is 18 more than the number of girls.
To Find :
- Find the total number of student in class ?
Solution :
- Let the number of girls be x.
- And the number of boys = x + 18.
According to the question :
➣ 7 : 4 = (x + 18) : x
➣ 7/4 = (x + 18)/x
Cross multiplication :
➣ 7x = 4(x + 18)
➣ 7x = 4x + 72
➣ 7x - 4x = 72
➣ 3x = 72
➣ x = 72/3
➣ x = 24
Finding the total number of students :
- Total students = Boys + Girls
➣ Total students = x + 18 + x
➣ Total students = 2x + 18
➣ Total students = 2(24) + 18
➣ Total students = 48 + 18
➣ Total students = 66
Hence,
- The total number of students in the class 66.
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