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Francisco’s MP3 player with a capacity of 64 gigabytes (GB)
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27 May 2018, 03:55
27 May 2018, 03:55
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Question Stats:
89% (01:22) correct
10% (02:23) wrong based on 55 sessions
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Francisco’s MP3 player with a capacity of 64 gigabytes (GB) was three-quarters full. He then deleted 25% of the data saved on the device before saving another 20 GB of new data to the device. The resulting amount of data saved is what percent of the capacity of Francisco’s MP3 player?
(A) 62.5 %
(B) 70 %
(C) 75 %
(D) 87.5 %
(E) 95 %
(A) 62.5 %
(B) 70 %
(C) 75 %
(D) 87.5 %
(E) 95 %
Re: Francisco’s MP3 player with a capacity of 64 gigabytes (GB)
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27 May 2018, 13:10
27 May 2018, 13:10
Expert Reply
Explanation
If Francisco’s MP3 player is three-quarters full, the current content equals \(\frac{3}{4} \times 64\) GB = 48 GB.
He then deleted 25%, or 12 GB, of that data, reducing the amount of data saved to 48 – 12 = 36 GB.
After saving 20 GB of new data to the device, it holds 36 + 20 = 56 GB. This is \(\frac{56}{64} \times 100 = 87.5%\) of the total capacity.
If Francisco’s MP3 player is three-quarters full, the current content equals \(\frac{3}{4} \times 64\) GB = 48 GB.
He then deleted 25%, or 12 GB, of that data, reducing the amount of data saved to 48 – 12 = 36 GB.
After saving 20 GB of new data to the device, it holds 36 + 20 = 56 GB. This is \(\frac{56}{64} \times 100 = 87.5%\) of the total capacity.
Re: Franciscos MP3 player with a capacity of 64 gigabytes (GB)
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15 Jul 2025, 05:10
15 Jul 2025, 05:10
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