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1 March, 13:45

a math club has 40 members. the number of girls is less than 2 times the number of boys. how many members are boys? how many members are girls?

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  1. 1 March, 15:03
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    Complete Question:

    A math club has 40 members. the number of girls is five less than 2 times the number of boys. how many members are boys? how many members are girls?

    Answer:

    There are 15 boys and 25 girls in math club.

    Step-by-step explanation:

    This math club has 40 members. So, the members counts are combined counts of boys and girls. From this we can write

    B + G = 40

    Where,

    B = boys and G = girls.

    The second sentence gives us

    G = 2 B - 5

    Using substitution, we can revise the first equation using the expression for 'G' from the second equation.

    B + G = 40

    B + (2 B - 5) = 40

    3 B = 40 + 5

    3 B = 45

    B = 15

    Hence, there are 15 boys.

    Given that there are 15 boys, use this value and evaluate G

    15 + G = 40

    G = 25

    So, there are 25 girls.
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