3x-2=16...need help on this one?

Question:If x represents the number of stamps Gwen bought, the equation above can be used to solve which of the following problems?

(a). Together John and Gwen bought 16 stamps. Gwen bought 2 fewer stamps than John. How many stamps did Gwen buy?

(b). Gwen bought 16 stamps, which was 2 more than John bought. How many stamps did John buy?

(c). John bought three times as many stamps as Gwen. After he used 2 of them, he had 16 left. How many stamps did Gwen buy?

(d) Gwen bought 2 fewer than 3 times as many stamps as John. How many stamps did John buy?

I think the answer is c. Am i right?

Answers:
Checking (a):

Equation: 3x - 2 = 16

(3 x 2) - 2 = 16
6 - 2 = 16
4 = 16
[The answer doesn't match, so (a) is eliminated]

Checking (b):

Equation: 3x - 2 = 16

(3 x 16) - 2 = 16
48 - 2 = 16
46 = 16
[The answer doesn't match, so (b) is eliminated]

Checking (c):

Equation: 3x - 2 = 16

(3 x 6) - 2 = 16
18 - 2 =16
16 = 16
[The answer matches, so therefore (c) could be it]

option (d) doesn't give us enough information to check with the equation ... so (d) is elminated.

Therefore, you are correct. (c) is the answer!
Eh I thought it was D.
Yes, I am 1000000.% sure! =]
yes.
D

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