Question

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

Answer 1

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.