Question

Arianna is at the supermarket where her favorite breakfast cereal polygon cluster is on sale. the cereal is now priced at $3 per box, including tax. she has $17 with her, but she needs to have $2 left over for the bus ride home. How much boxes of cereal can arianna buy? write an inequality using "b" to represent the number of boxes

a) b ≤ (17 - 2) / 3
b) b ≥ (17 - 2) / 3
c) b < (17 - 2) / 3
d) b > (17 - 2) / 3

Answer 1

Arianna can buy a maximum of 5 boxes of cereal. Correct option is a.

Step-by-step explanation:

To determine how many boxes of cereal Arianna can buy, we need to set up an inequality. Let 'b' represent the number of boxes. Arianna has $17 and she needs to have $2 left over for the bus ride home.

The price per box, including tax, is $3. So the total cost of 'b' boxes of cereal is 3b. Arianna's total expenses will be 3b + 2 (including tax and bus fare).

To find the maximum number of boxes Arianna can buy, we need to find the largest 'b' that satisfies the inequality: 3b + 2 ≤ 17.

Simplifying the inequality, we have 3b ≤ 15. Dividing both sides by 3, we get b ≤ 5.

Therefore, Arianna can buy a maximum of 5 boxes of cereal.