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21 March, 12:31

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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  1. 21 March, 15:33
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    Let's say the number of boys is X and the number of girls is Y.

    Then we have 35 students in the class, this means X+Y=35

    The ratio of boys to girls is 3:4, so if we multiply the number of girls (Y) in the class by 3 and the number of boys (X) by 4 they should be equal 4x=3y

    Now we have 2 with 2 variables

    Let's multiply the first equation by 4, 4x+4y=140

    Now replace the 4x with 3y, 7y=140

    So we have 20 girls in the class (y=20) and 15 boys (20+15=35)

    The answer is: we have 5 more girls in the class
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