Tina's Crunch Purchase Dilemma

The Case of Tina and the Crunch Boxes

Tina recently went shopping and bought some boxes of crunch. After coming home, she realized that she now has a total of 32 crunch. However, she couldn't remember how many boxes she originally bought. Let's try to solve this mystery by using some basic math!

Let's assume that Tina bought x boxes of crunch and each box contains y crunch. We know that the total number of crunch she has now is 32. So, the equation looks like this:

x * y = 32

Calculating Tina's Crunch Purchase

Now, we also know that Tina still has 32 crunch, which means that she didn't consume any of the crunch yet. This implies that the number of boxes she originally bought must be equal to the number of crunch she currently has, as each box was untouched.

Therefore, we can rewrite the equation as:

x = 32 / y

Solving the Crunch Quantity

Since Tina still has all 32 crunch, we know that the number of boxes x must be an integer. This means that the number of crunch y in each box has to be a divisor of 32. Let's find all the possible combinations:

1. x = 1, y = 32 (1 box with 32 crunch)
2. x = 2, y = 16 (2 boxes with 16 crunch each)
3. x = 4, y = 8 (4 boxes with 8 crunch each)
4. x = 8, y = 4 (8 boxes with 4 crunch each)
5. x = 16, y = 2 (16 boxes with 2 crunch each)
6. x = 32, y = 1 (32 boxes with 1 crunch each)

Conclusion

It turns out that Tina could have bought either 1, 2, 4, 8, 16, or 32 boxes of crunch, depending on the quantity of crunch in each box. Without more information, we cannot determine the exact number of boxes Tina bought. However, we have narrowed down the possibilities based on the total crunch she has now. The mystery of Tina's crunch purchase remains partially unsolved!