You have $60 in your wallet and want to buy some new CDs. If the CDs are $11 each, what number of CDs, x, can you buy? Write and solve an inequality. Then explain your answer.

Question

You have $60 in your wallet and want to buy some new CDs. If the CDs are $11 each, what number of CDs, x, can you buy? Write and solve an inequality. Then explain your answer.

Answer 1

11x < 60

x<5.5

You can buy 5 CDs.

Answer 2

To determine the number of CDs you can buy, we can set up an inequality:

Number of CDs * Cost per CD ≤ Total Amount of Money

Let's denote the number of CDs as x, and the cost per CD as $11. The total amount of money you have is $60. Therefore, the inequality becomes:

x * 11 ≤ 60

Now, we can solve this inequality for x:

11x ≤ 60

Divide both sides of the inequality by 11:

x ≤ 60/11

Now, let's simplify the fraction:

x ≤ 5.45

Since you can't buy a fraction of a CD, we need to round down to the nearest whole number because you can't buy a fraction of a CD. Therefore, you can buy a maximum of 5 CDs with $60 in your wallet.