To find: The total number of CDs required to buy in a year in order for the total cost of both memberships to be the same, based on data shown in given table.
Answer to Problem 1STP
Total CDs needed to buy be 30.
Explanation of Solution
Given information: The following table, that shows the membership cost for two CD clubs:
Concept used:Let total CDs required be x , so it will be set the total cost of membership for each club as:
Total membership cost= Annual fee + cost per CD × total number of CDs
And then both costs will be put equal to each other and will be solved for variable x .
Calculation: Based on above formula, membership cost for club #1
And membership cost for club#2
Now as the membership cost is same, so
On subtracting
Conclusion:
Based on above calculation,total required CDs be 30.
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