the number of girls and boys are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class

Question

the number of girls and boys are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class

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Hailey 1 month 2021-08-16T16:08:54+00:00 2 Answers 1 views 0

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    0
    2021-08-16T16:10:32+00:00

    Step-by-step explanation:

    ★Correct Question:-

    the number of boys and girls are in ratio of 10:7. the number of boys is 6 more than number of girls what is the total strength of the class.

    ★Solution

    If it’s been given that boys are more than the girls, it means boys have a greater ratio.

    Let the ratio of boy and girls be 10x and 7x respectively.

    We’ve been given that number of boys is 6 more than the number of girls.

    So we can conclude that,

    The difference between the ratio of boys to girls will give 6 as it’s mentioned that number of boys is 6 more than number of girls.

    10x – 7 x = 6

    3x = 6

    x = 2.

    Number of boys = 10x = 10(2) = 20

    Number of girls. = 7x = 7(2) = 14.

    Now, we’ve to find the total number is of students.

    Total number of students = Number of boys + Number of girls.

    Total number of students = 20+14

    Total number of students = 34.

    Therefore, the total strength of the class is 34.

    0
    2021-08-16T16:10:48+00:00

    Answer:

    No. of boys = 20

    No. of girls = 14

    Step-by-step explanation:

    Let us consider,

    No. of boys in class = 10x and

    No. of girls in class = 7x

    The number of boys is 6 more than that of

    girls…………. (given)

    Therefore,

    10x+6 = 7x

    10x – 7x = 6

    3x = 6

    x = 6 /3

    x = 2

    Therefore,

    No. of boys = 10x = 10 × 2 = 20

    No. of girls = 7x = 7 × 2 = 14.

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