Question

There is an installation fee to join the Pine River country club as well as monthly dues the total cost of her seven month membership will be $3200 and after one and a half years $3970 find both the intuition feet and the monthly dues

Answer 1

Monthly charges = $70

Intuition charges = $2710

Explanation:

There is intuition fee and per month fee for joining the Pine River country club.

Total cost for 7 months is $3200

Total cost for one and a half years is $3970

one and a half years means 18 months.

To find:

Intuition fee and monthly dues?

Solution:

Let the intuition fee =
`i`

Let the monthly dues =
`m`

Total cost for 7 months can be represented as

`i+7m = 3200` ..... (1)

Total cost for 18 months can be represented as

`i+18m = 3970 .... (2)`

Here, we have 2 equations and 2 variables whose values are to be found.

Let us use elimination method to solve the equations.

Subtracting equation (1) from (2):

`11m = 770\\\Rightarrow m = 70`

Therefore, the monthly dues are $70.

Using equation (1), we can find the value of
`i`.

`i + 70* 7 = 3200\\\Rightarrow i = 3200 - 490\\\Rightarrow i = \$2710`

Therefore, intuition charges are $2710.