Question

At a health club, 96 members participate in the morning workout, and this number has been increasing by 2 people per week. In the afternoon workout, there are 80 members, and this number has been decreasing by 3 people per week. Solve the equation 96+2w=2(80−3w)

96
+
2
w
=
2
(
80
-
3
w
)
to find in how many weeks w
w
the number of people working out in the morning will be double the number of people working out in the afternoon.

Answer 1

To solve the equation, we first distribute the 2 on the right side of the equation to get 96+2w=160-6w. Then we combine like terms to get 8w=64. Dividing both sides by 8 gives us w=8. This means that the number of members in the morning workout increases by 8 people per week.