How many CDs will a salesperson need to sell to make $52.80 in commission if the commission rate is 8% and the CDs sell for $12 apiece?
I needed help I thought it has something to do with equation but guess not.
commission per CD = .08*12 = .96
so
52.8/.96
Let x = the number of CDs he needs to sell.
12x * 0.08 = 52.80
0.96x = 52.80
x = 55
To find out how many CDs the salesperson needs to sell to make $52.80 in commission, we can use the equation:
Commission = Commission rate x Total sales
In this case, the commission rate is 8% (or 0.08 as a decimal) and the CDs sell for $12 each. We need to find the total sales that will result in a commission of $52.80.
Let's break down the equation step by step:
Commission = Commission rate x Total sales
$52.80 = 0.08 x Total sales
To isolate the Total sales, we divide both sides of the equation by 0.08:
Total sales = $52.80 / 0.08
Now we can calculate the value of Total sales:
Total sales = $660
Since each CD sells for $12, we can determine the number of CDs by dividing the total sales by the price of each CD:
Number of CDs = Total sales / Price per CD
Number of CDs = $660 / $12
Calculating this, we find:
Number of CDs = 55
Therefore, the salesperson needs to sell 55 CDs to make $52.80 in commission.