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28 March, 06:08

The chess club has 16 members and gains a new member every month. the film club has 4 members and gains 4 new members every month. write and solve a system of equations to find when the number of members in both clubs will be equal.

a. 2 months

b. 3 months

c. 4 months

d. 5 months

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Answers (1)
  1. 28 March, 06:10
    0
    For chess club:

    y1 = 16 + 1*x where y1 = total number of members after x months.

    For film club:

    y2 = 4 + 4*x where y2 = total number of members after x months.

    y1 = y2 when:

    16 + x = 4 + 4x

    3x = 12

    x = 4 months

    Answer: C. 4 months.
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