Question

There are two different memberships at the gym. One of the plans charges $5 per month and $4 each day you work out. The other plan charges $32 per month and $1 each day you work out. After how many days of workouts would the membership plans be the same price?

Answer 1

Let's assume the number of days of workouts be x.
For the first plan, the total cost would be $5 + $4x.
For the second plan, the total cost would be $32 + $1x.
To find out when the plans would be the same price, we need to set the two equations equal to each other:
$5 + $4x = $32 + $1x
Subtracting $1x from both sides:
$3x + $5 = $32
Subtracting $5 from both sides:
$3x = $27
Dividing both sides by $3:
x = 9

Therefore, after 9 days of workouts, the two membership plans would be the same price.