The ratio of boys to girls in a class is 3:4. There are 35 students in the class How many more girls than boys are there?

Question

The ratio of boys to girls in a class is 3:4. There are 35 students in the class How many more girls than boys are there?

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Dulcie 3 years 2021-08-31T22:52:40+00:00 2 Answers 2 views 0

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  1. thuthuy
    0
    2021-08-31T22:54:22+00:00
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    Step-by-step explanation:

    So let’s keep the missing number as x

    So the ratio becomes 3x:4x

    And according to the question,

    3x + 4x = 35

    7x = 35

    x = 35/7

    x = 5

    So to find the number of boys:- 3 * 5 = 15

    Number of girls:- 4 * 5 = 20

    Therfore, Difference = 20 – 15

    = 5 students

    Hope you understood 🙂

  2. Vodka
    0
    2021-08-31T22:54:39+00:00
    Reply

    Answer:

    5 more girls than boys

    Step-by-step explanation:

    When you think of ratio, imagine it this way. A ratio literally means a fraction. So, we can visualise it a similar way: a pie. Or a pizza, if you like.

    In the pie, there are two groups. One are the boys and one are the girls. When you say their ratio is 3:4, it means that for every 3 boys there are 4 girls. This means that the number of boys can be represented as 3 units and the number of girls as 4 units. We just do not know how many students one unit represent, but any one unit is equal in a ratio, no matter how many groups there are.

    Hence, imagine the pie as being divided into 3 slices + 4 slices. That makes 7 slices. Now we need to find out how many students forms one slice.

    We know that the whole pie is made up of 35 students. There are 7 slices in the pie. Hence, to find the number of students in a slice, simply divide 35 by 7:

    35/ 7 = 5

    We now know one slice, or one unit, has 5 students.

    Now multiply the value of the unit by how many units each group is made up of to find how many students there are in each group. 3 x 5 = 15. 4 x 5 = 20. One cool trick here is to add up the values again to see if it fits to the original sum. This helps you check your working.

    We now know there are 20 girls and 15 boys, Hence, there are 20–15 = 5 more girls than boys.

    Not mine! this was from Quora written by William Blake!

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