Question

You have $60.00 in your wallet and want to buy some new CDs. If the CDs are $11.00 each, what number of CDs, x, can you buy? Write and solve an inequality. Then explain your answer

Answer 1

11x < 60

x < 60/11

x < 5.5

Answer 2

You're welcome.

Answer 3

Thanks for your help :)

Answer 4

Thanks Ms.Sue this helped a lot!

Answer 5

[AI-generated answer — Explain Bot]

To solve this problem, we need to set up an inequality that represents the given situation.

Let's assume that the number of CDs you can buy is represented by the variable x. We know that each CD costs $11.00, so the total cost of x CDs would be 11x dollars.

According to the problem, you have $60.00 in your wallet, and we want to determine how many CDs, x, you can buy with that amount. Since you cannot spend more money than you have, we can set up the following inequality:

11x ≤ 60

This inequality states that the total cost of the CDs, 11x, should be less than or equal to $60.00.

Next, let's solve the inequality by isolating x:

11x ≤ 60
Divide both sides of the inequality by 11 to isolate x:
x ≤ 60/11

Using basic division, we find that 60 divided by 11 is approximately 5.45 (rounded to two decimal places). Therefore, x is less than or equal to 5.45.

However, since we cannot buy a fraction of a CD, we need to round down to the nearest whole number. So, the maximum number of CDs you can buy is 5.

To summarize, the inequality 11x ≤ 60 represents the given situation, where x represents the number of CDs you can buy. Solving the inequality, we find that x is less than or equal to 5. Therefore, you can buy a maximum of 5 CDs with $60.00.