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A class has 49 students. The ratio of boys to girls is 5:2. If x girls join the class, what is the new ratio of boys to girls?

Mathematics

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Question 15:

  1. Calculate the initial number of boys and girls.

    The total number of students is 49.
    The initial ratio of boys to girls is 5:25:2.
    The total parts in the ratio are 5+2=75 + 2 = 7.
    Number of boys = 57×49=5×7=35\frac{5}{7} \times 49 = 5 \times 7 = 35 boys.
    Number of girls = 27×49=2×7=14\frac{2}{7} \times 49 = 2 \times 7 = 14 girls.

  2. Set up the new ratio with the additional girls.

    Let xx be the number of girls required to join.

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