9 wonderful students decided to buy their math teacher and expensive presents, each contributing the same amount of money. Four other students found out about the plan and joined in, agreeing to pay their share of the present’s cost. This resulted in Saving of $33.32 for each of the original nine students. the cost of the gift, in dollars, is:

a) $299.88
b) $433.16
c) $974.61
d) $1407.77
e) $3898.44

Well, let's do some math, shall we? If the original nine students saved $33.32 each, and there were four additional students who joined in, that means they collectively saved a total of 9 x $33.32 = $299.88.

Now, to find the total cost of the gift, we need to subtract the total savings from the amount contributed by the additional four students. Since each of the additional students agreed to pay their share of the gift's cost, and the total savings is $299.88, we can say that the total cost of the gift is $299.88 + $299.88 = $599.76.

Therefore, the correct answer is not any of the options given. Maybe the math teacher is lucky to have such generous and thrifty students!

Let's assume that the cost of the gift is represented by variable C and the amount contributed by each original student is represented by variable x.

From the given information, we know that 9 original students contributed equally towards the gift, resulting in $33.32 savings for each of them. So, each original student contributes x dollars, resulting in a saving of $33.32.

This can be represented as:
9x = C - 33.32

When the remaining 4 students joined and agreed to pay their share, the cost of the gift remained the same, but the number of contributors increased to 13. Therefore, the amount contributed by each student is now C/13.

This can be represented as:
4(C/13) = C - 33.32

Simplifying this equation, we get:
4C/13 = C - 33.32
4C = 13(C - 33.32)
4C = 13C - 435.16
435.16 = 13C - 4C
435.16 = 9C
C = 435.16/9
C = 48.35

Therefore, the cost of the gift is approximately $48.35.

None of the given answer choices match this result, so there may be an error in the information provided or the answer choices.

To find the cost of the gift, we can break down the problem by using algebra.

Let's assume that each of the original nine students contributed x dollars. So the total amount of money contributed by the nine students is 9x.

When the four additional students joined in, the total number of students became 13. Since they agreed to pay their share of the present's cost, the total amount of money contributed by all 13 students is 13x.

We know that the original nine students saved $33.32 each. So the total amount saved by the nine students is 9 * $33.32 = $299.88.

According to the information given in the problem, the total amount of money contributed by all 13 students resulted in this saving. Therefore, we can set up the following equation:

13x - 9x = $299.88

Simplifying the equation, we have:

4x = $299.88

To find the value of x, we divide both sides of the equation by 4:

x = $299.88 / 4 = $74.97

Now that we know the value of x, we can find the cost of the gift by multiplying x by the total number of students:

13x = 13 * $74.97 = $974.61

So, the cost of the gift is $974.61.

Therefore, the correct option is c) $974.61.

c / 9 = (c / 13) + 33.32