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?
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.
To find out after how many days of workouts the membership plans would be the same price, we need to set up an equation and solve for the number of days.
Let's assume the number of days of workouts is represented by 'd'.
For the first membership plan:
Total cost = (Monthly fee) + (Daily fee × Number of workouts)
Total cost = $5 + $4 × d
For the second membership plan:
Total cost = (Monthly fee) + (Daily fee × Number of workouts)
Total cost = $32 + $1 × d
Now, we can set up an equation to find when the two plans are equal:
$5 + $4 × d = $32 + $1 × d
Next, let's simplify the equation:
$4 × d - $1 × d = $32 - $5
$3 × d = $27
Now, we can solve for 'd' by dividing both sides of the equation by $3:
d = $27 / $3
d = 9
Therefore, after 9 days of workouts, the membership plans would be priced the same.