You have a MAXIMUM of $45 dollars to spend. Therefore, the total money you spend on CDs PLUS on cassette tapes cannot exceed $45 dollars. In other words, the total cost of CDs PLUS cassette tapes must be LESS THAN OR EQUAL to the money you have to spend which is $45 dollars. So, translating that to an inequality looks like:
[cost of CDs] + [cost of cassettes] <= $45
Now, we need to write a mathematical expression for the [cost of CDs] and for [cost of cassettes]. First consider the cost of CDs. We know that each CD costs $12 (given in the problem). It also says that "y" represents the number of CDs (given). So, if we bought "y" amount of CDs, and each one cost $12, then the TOTAL amount we spent on CDs must be $12 multiplied by "y". Or, we will say we spend 12y.
So, [cost of CDs] can be replaced with 12y.
Similarly with the total cost of cassettes, we know each cassette costs $5 (given in the problem), and "x" represents how many cassettes we bought (given). So, the total amount we spend buying those cassettes is $5 multiplied by "x", or 5x.
[cost of cassettes] can be replaced with 5x.
Now rewriting the inequality above:
[cost of CDs] + [cost of cassettes] <= 45 becomes....
12y + 5x <= 45
So the answer is B.
Content will be erased after question is completed.