The pile contains 17 quarters and 15 half-dollars.
Let <em>x</em> = the number of quarters and <em>y</em> = the number of half-dollars.
We have two equations:
(1) $0.25<em>x</em> + $0.50<em>y</em> = $11.75
(2) <em>x</em> = <em>y</em> +2
Substitute the value of <em>x</em> from Equation (2) into Equation (1).
0.25(<em>y</em>+2) + 0.50<em>y</em> = 11.75
0.25<em>y</em> + 0.50 + 0.50<em>y</em> = 11.75
0.75<em>y</em> = 11.75 – 0.50 = 11.25
<em>y</em> = 11.25/0.75 = 15
Substitute the value of <em>y</em> in Equation (2).
<em>x</em> = 15 + 2 = 17
The pile contains 17 quarters and 15 half-dollars.
<em>Check</em>: 17×$0.25 + 15×$0.50 = $4.25 + $7.50 = $11.75.
Step-by-step explanation:
16 data points.
the mean value is the sum of all data points divided by the number of data points :
13896/16 = 868.5
the median is the data point with half of the other data points being smaller and the other half being bigger.
as we have an even number of data points, we need to apply the extra rule :
the median is the mean value between the 2 middle points (where one half of the other data points is smaller than these 2, and the other half is bigger than these 2).
in our case we have 138 and 240.
the mean value between these 2 and therefore the median of the list is
(138 + 240)/2 = 378/2 = 189
1.4? Is that the answer or you want it to be an a fraction
