for the past 3 months, grace used her cell phone for 43 minutes, 62 minutes, and 57 minutes. how many minutes would she have to use her cell phone this month for the average over the four months to be 55 minutes?
To find the average, we need to add up the total number of minutes Grace used her cell phone over the four months and divide it by 4.
Total number of minutes = 43 + 62 + 57 = 162 minutes
To find the number of minutes Grace would need to use her cell phone this month for the average over the four months to be 55 minutes, we need to find the difference between the current total number of minutes and the desired average multiplied by 4.
Minutes needed this month = (55 * 4) - 162 = 220 - 162 = <<(55*4)-162=158>>158 minutes
Therefore, Grace would need to use her cell phone for 158 minutes this month to maintain an average of 55 minutes over the four months.
can you put this into a formula?
Certainly! Here's the formula to calculate the number of minutes Grace would need to use her cell phone this month for the average over the four months to be a specific value (let's call it "X"):
Minutes needed this month = (X * 4) - (Sum of minutes used in the past 3 months)
In this case, since we want the average over the four months to be 55 minutes, the formula becomes:
Minutes needed this month = (55 * 4) - (43 + 62 + 57)
You can substitute any desired value for "X" to find the corresponding number of minutes needed this month.
can u make this the equation?
Yes, here's the equation:
Minutes needed this month = (X * 4) - (43 + 62 + 57)
Where X represents the desired average in minutes.
To find out how many minutes Grace would need to use her cell phone this month for the average over the four months to be 55 minutes, we can follow these steps:
Step 1: Calculate the total number of minutes Grace used her cell phone in the past three months:
Total minutes = 43 + 62 + 57 = 162 minutes
Step 2: Calculate the average minutes used per month for the past three months:
Average minutes per month = Total minutes / Number of months
= 162 minutes / 3 months
= 54 minutes
Step 3: Find the total minutes Grace would need to use her cell phone over the four months to have an average of 55 minutes per month:
Desired total minutes = Average minutes per month * Number of months
= 55 minutes * 4 months
= 220 minutes
Step 4: Finally, subtract the total minutes Grace has already used from the desired total minutes for the four months to find out how many more minutes she would need to use this month:
Minutes needed this month = Desired total minutes - Total minutes
= 220 minutes - 162 minutes
= 58 minutes
Therefore, Grace would need to use her cell phone for 58 minutes this month to have an average of 55 minutes over the four months.
To find the answer, we need to calculate the total number of minutes Grace used her cell phone over the four months. Then, we'll find the number of minutes she needs to use this month in order to achieve an average of 55 minutes.
To calculate the total number of minutes used over the three months, we add up the minutes:
43 + 62 + 57 = 162
Next, we calculate the sum of the four months by adding the previous total to the minutes she will use this month (let's call it x):
162 + x = Total number of minutes used over four months
To find the average, we divide this sum by 4 (the number of months):
(Total number of minutes used over four months) / 4 = average
Since we want the average to be 55 minutes, we can set up the following equation:
(Total number of minutes used over four months) / 4 = 55
Multiply both sides of the equation by 4:
Total number of minutes used over four months = 55 * 4
Simplifying the equation:
Total number of minutes used over four months = 220
Now, substitute this value back into the earlier equation:
162 + x = 220
To find x, isolate it by subtracting 162 from both sides:
x = 220 - 162
Simplifying the equation will give us the value for x:
x = 58
Therefore, Grace needs to use her cell phone for 58 minutes this month in order to achieve an average of 55 minutes over the four months.