Question

tiffani collects stamps. if she had 4 more super hero stamps, she'd have three times as many super hero stamps as space stamps. and if she had 7 fewer super hero stamps, she'd have the same number of super hero stamps and cinderella stamps. if tiffani has 209 stamps in total, how many cinderella stamps does she have?

Answer 1

After setting up equations based on the given conditions and combining them to find the number of super hero, space, and Cinderella stamps Tiffani has, we determine that she has 89 Cinderella stamps in total.

Step-by-step explanation:

Let's denote the number of super hero stamps Tiffani has as S, the number of space stamps as R, and the number of Cinderella stamps as C. According to the problem, we are given two conditions:

1. If Tiffani had 4 more super hero stamps, she'd have three times as many super hero stamps as space stamps. This can be written as S + 4 = 3R.
2. If she had 7 fewer super hero stamps, she'd have the same number of super hero stamps and Cinderella stamps. This can be written as S - 7 = C.

We know that Tiffani has 209 stamps in total, which gives us the equation S + R + C = 209. Using the two conditions, we can rewrite R and C in terms of S:

• R = (S + 4) / 3
• C = S - 7

Now, substitute R and C in the total stamps equation:

S + ((S + 4) / 3) + (S - 7) = 209

After solving this equation, we find that S = 96. Then we find R = 33.33 (which must be an integer, so it's actually 33), and C = 96 - 7 = 89. Therefore, Tiffani has 89 Cinderella stamps.