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.
Can you explain this problem step by step? Trying to help my cousin solve this....:/
11x<= 60
divde by 11
x<=60/11 or 5 5/11
but x is an integer, so
x<=5
so the max number is five.
Thank you.
Of course! Let's break down the problem step by step:
Step 1: Identify what you know
You have $60.00 in your wallet, and the CDs are priced at $11.00 each.
Step 2: Define the variable
Let's define the variable x as the number of CDs you can buy.
Step 3: Write the inequality
To find the maximum number of CDs you can buy, we need to consider the constraint of having a limited budget. The total cost of x CDs at $11.00 each should not exceed your available $60.00. So, the inequality would be:
11x ≤ 60
Step 4: Solve the inequality
To solve the inequality, divide both sides of the equation by 11:
x ≤ 60/11
x ≤ 5.45
Since x represents the number of CDs, we can't have a fraction of a CD. Therefore, you can buy a maximum of 5 CDs with $60.00.
Keep in mind that the inequality x ≤ 5.45 means "x is less than or equal to 5.45." However, since we can't have a fraction of a CD, we round down to the nearest whole number, giving us x = 5.