Question

Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy?

Answer 1

The inequality that represents the maximum number of candy bar packages Andrea can buy is 1.15x + 6.50 <= 18. The maximum number of packages she can buy is 10.

Step-by-step explanation:

To find the maximum number of candy bar packages that Andrea can buy, we need to determine how many packages she can buy while still being within her budget. Let's assume she can buy 'x' candy bar packages. Since each package costs $1.15, the total cost of the candy bars would be 1.15x. The total amount spent so far is $6.50 + the cost of the candy bars, which should not exceed $18. Therefore, the inequality representing the maximum number of packages Andrea can buy is:

1.15x + 6.50 <= 18

To solve this inequality, subtract 6.50 from both sides:

1.15x <= 11.50

Finally, divide both sides by 1.15 to isolate 'x':

x <= 10