SOLUTION: Courtney�s grandmother gives her $350 to take gymnastics lessons. The fee for the first month is $50 and each additional month is $30. How many months of gymnastics can Courtney ta

Question 210631: Courtney�s grandmother gives her $350 to take gymnastics lessons. The fee for the first month is $50 and each additional month is $30. How many months of gymnastics can Courtney take using her grandmother�s gift? 11months
11 months
Additional Month is x
30(x)+50=350

30x=300
X=10
I know answer but how do I set up formular?
Found 2 solutions by jim_thompson5910, MathTherapy:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let C=total cost of lessons

So at first, the cost is $50. So no matter how long she stays, she'll be paying $50. So at first, the cost is

Now let's say that she now decides to do another month on top of the first month. She's already paid $50, but she now has to pay an extra $30. So for one additional month, the cost is now . If she does it for another month after that, she has to pay another $30, giving the cost of

Now let's say that she does 8 additional months. This means that she has to pay 8 $30 fees. So the cost would be (there are 8 thirty's here)

To save time and sanity, instead of adding repeated values, we can just multiply. So instead of having eight 30's out there, we can rewrite that part as .

So in general, if she stays for 'x' additional months, you're going to add on 'x' charges of $30 which will cost . Add this to the original cost of $50 to get the total charge

Since we want to hold the cost to $350 (that's her budget), we simply make and plug it in to get

Note: you can rearrange the last equation to get
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Courtney�s grandmother gives her $350 to take gymnastics lessons. The fee for the first month is $50 and each additional month is $30. How many months of gymnastics can Courtney take using her grandmother�s gift? 11months
11 months
Additional Month is x
30(x)+50=350

30x=300
X=10
I know answer but how do I set up formular?

First of all, let's make the amount of months she can take lessons be M

The 1st month, therefore, would be counted as 1 month, at $50

The other months would then be M - 1, at $30

Therefore, we have the equation: 1(50) + (M - 1)30 = 350

Solving for M, we get: 50 + 30M - 30 = 350

30M + 20 = 350

30M = 330

Thus, the total amount of months that she can take lessons, or M is:

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