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Melcher used 24% of the memory card on his digital camera while taking pictures at a family reunion. If Melcher took 96 pictures at the family reunion, how many pictures can the memory card hold? Use any strategy to solve.

User Emil H
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Final answer:

To find the total capacity of the memory card, calculate the number of pictures corresponding to 1% of the capacity and then multiply by 100. Using this method, we discover that the memory card can hold 40,000 pictures in total.

Step-by-step explanation:

The question asks us to determine how many pictures a memory card can hold if Melcher used 24% of its capacity to store 96 pictures.

To find the total number of pictures the card can hold, we use a simple proportion, where 24% corresponds to the 96 pictures already taken. We perform the calculation as follows:

  1. First, express the percentage as a decimal by dividing by 100: 24% = 0.24.
  2. Then, divide the number of pictures taken by the decimal to find one percent of the capacity: 96 / 0.24 = 400 pictures.
  3. Now, multiply this number by 100 to obtain the full capacity: 400 * 100 = 40,000 pictures.

Therefore, the memory card can hold a total of 40,000 pictures.

User Ben Asmussen
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