Answer:
C. The number of balls when the bucket is full is 61
Explanation:
Given the above table
Required
Number of balls when buck was full
From the table above, she had 54 balls at 5 minutes, 47 at 10 minutes...... and so on.
The interpretation of the question is that, the number of balls before she start throwing should be calculated.
In other words, this means the number of balls when time is 0;
First, we need to calculate the number of balls thrown in each interval.
Taking any two consecutive field;
Number of balls = Number of balls at 5 minutes - Number of balls at 10 minutes
Or
Number of balls = Number of balls at 10 minutes - Number of balls at 15 minutes
Or
Number of balls = Number of balls at 15 minutes - Number of balls at 20 minutes
Or
Number of balls = Number of balls at 20 minutes - Number of balls at 25 minutes
Or
Number of balls = Number of balls at 25 minutes - Number of balls at 30 minutes
Any of the above will give the same result
54 - 47 or 47 - 40 or 40 - 33 or 33 - 26
Number of balls thrown at each interval = 7.
Now that we have the number of balls thrown at each interval to be 7 and we have that each interval is separated by 5 minutes, we can now calculate the requirements of the question.
Using the same format of formula used above.
Number of balls thrown at each interval = Number of balls at 0 minutes - Number of balls at 5 minutes
By substitution, we have
7 = Number of balls at 0 minutes - 54
Collect like terms
7 + 54 = Number of balls at 0 minutes
61 = Number of balls at 0 minutes
Number of balls at 0 minutes = 61
Hence, the number of balls when the bucket is full is 61