A cable television company charges $24.95 a month for basic cable service and $6.95 a month for each additional premium channel. If Sami's monthly bill is $45.80, how many premium channels is he receiving?
number of premium channels ----- c
6.95c + 24.95 = 45.80
solve for c
$45.80-24.95=20.85
20.85/6.95=3
They're getting 3 premium channels
To solve this problem, let's assume that Sami has x number of premium channels.
The basic cable service costs $24.95, and each additional premium channel costs $6.95.
So, the total cost of the premium channels is 6.95 * x.
Adding this to the basic cable service charge, we have the equation:
24.95 + 6.95x = 45.80
To solve for x, we first subtract 24.95 from both sides of the equation:
6.95x = 45.80 - 24.95
This simplifies to:
6.95x = 20.85
Finally, we divide both sides of the equation by 6.95 to solve for x:
x = 20.85 / 6.95
Calculating this, we find that x is approximately 3.
Therefore, Sami is receiving 3 premium channels.
To determine the number of premium channels Sami is receiving, we need to subtract the cost of the basic cable service from his total bill and then divide the result by the cost of each additional premium channel.
Let's first subtract the cost of the basic cable service from Sami's total bill:
$45.80 - $24.95 = $20.85
Now, let's divide this amount by the cost of each additional premium channel to find the number of premium channels Sami is receiving:
$20.85 ÷ $6.95 = 2.995
Since we can't have a fraction of a premium channel, we will round the result to the nearest whole number. In this case, the nearest whole number is 3.
Therefore, Sami is receiving 3 premium channels.