Question

Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 each. If she purchased all of them, what would be the average price, excluding taxes, for each CD?​

Answer 1

Average price, excluding taxes, for each CD is 10.20.

Explanation:

Given:

Cost of first 5 CDs,
`C_1 = 3.00`

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is,
`C_2=15.00* 10=150.00`

Now, total CDs purchased by Jana are,
`N=5+10=15`

Total cost of the 15 CDs purchased is given as:

`C_T=C_1+C_2=3.00+150.00=153.00`

Now, average price, excluding taxes, for each CD is given as:

`\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=(C_T)/(N)=(153.00)/(15)=10.20`

Therefore, the average price, excluding taxes, for each CD is 10.20.