Question

jTunes sells full albums for $11 and singles for $2. Is it possible for jTunes to make $665 when selling 100 items? (Show or explain your reasoning).

Answer 1

Given that

A full album cost $11

singles cost $2

A total of 100 albums were sold

Case 1: if 50 albums and 50 singles were sold

Then

The total revenue made will be

50 x $11 + 50 x $ 2

=> $ 550 + $100

=> $650

Case 2: If 51 albums and 49 singles were sold

Then

The total revenue made will be

51 x $11 + 49 x $2

=>$561 + $98

=>$659

Case 3: If 52 albums and 48 singles were sold

Then

The total revenue made will be

52 x $11 + 48 x $2

=>$572 + $96

=>$668

We can observe from the above that jTunes could make above $665 if more than 52 albums and 48 singles were sold.