please help me write algebraic equation/ solution if membership for local zoo is $135, members do not pay admission but they are charged $3. to park . non-members admission is $25. for the zoo and $5. for parking. After how many visits have members and non-members paid the same amt? I believe answer is 5 visits
135 +( 5 x 3) = 5(25) + 5(5)
150 = 150
after n visits
cost for members = 135 + 3n
cost for non-members = 25n + 5n = 30n
when is 30n = 135 + 3n ?
27n = 135
n = 135/27 = 5
you are correct
tks Reiny, i am having problems with these equation set-ups.
To find the number of visits required for members and non-members to pay the same amount, we can set up an algebraic equation.
Let's say x represents the number of visits. For members, the cost of each visit is $3 for parking, and for non-members, the cost of each visit is $25 for admission plus $5 for parking.
So, for members, the total cost is 135 + (3x), and for non-members, the total cost is 25x + 5x.
We want to find the number of visits (x) at which the total cost for members and non-members is the same.
Setting up the equation:
135 + (3x) = 25x + 5x
Now, let's solve for x:
135 + 3x = 30x
Subtract 3x from both sides:
135 = 27x
Divide both sides by 27:
5 = x
Therefore, after 5 visits, both members and non-members will have paid the same amount.