A digital memory card is only 8% full. If there is 1.2 GB worth of data on the card, how much data is remaining?
To solve this problem, we need to use a proportion:
Let x be the amount of data remaining.
8% = 0.08 as a decimal is the proportion of the card that is full.
0.08 = 1.2 GB / x
To solve for x, we can cross-multiply and simplify:
0.08x = 1.2 GB
x = 1.2 GB / 0.08
x = 15 GB
Therefore, the amount of data remaining on the memory card is 15 GB.
To find out how much data is remaining on the digital memory card, we can first calculate what 100% of the card represents, and then subtract the amount of data that is already on the card.
1. Find out what 1% of the card represents by dividing 1.2 GB (the amount of data on the card) by 8 (the percentage that represents 1%):
1.2 GB / 8 = 0.15 GB
2. To find 100% of the card, we can multiply 0.15 GB (1%) by 100:
0.15 GB * 100 = 15 GB
Therefore, if the digital memory card is currently 8% full with 1.2 GB of data, then there is 15 GB - 1.2 GB = 13.8 GB of space remaining on the card.
To find out how much data is remaining on the digital memory card, we need to calculate 8% of the total capacity of the card, and then subtract the amount of data that is already on the card.
First, we need to determine the total capacity of the memory card. Since we know that 1.2 GB worth of data is on the card and this data only occupies 8% of the total capacity, we can calculate the total capacity by dividing the data amount by the percentage:
Total capacity = (Data amount) / (Percentage as a decimal)
Total capacity = 1.2 GB / 0.08
Total capacity = 15 GB
Now that we know the total capacity is 15 GB, we can find the remaining data by subtracting the data already on the card:
Remaining data = Total capacity - Data amount
Remaining data = 15 GB - 1.2 GB
Remaining data = 13.8 GB
Therefore, there is 13.8 GB of data remaining on the digital memory card.