1. Harper has $15.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.75 each and one box of crackers that costs $3.50. Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of fruit, b, Harper can buy.

Answer: the maximum number that she can buy is 2 bags of fruits.

Step-by-step explanation:

Let b represent the number of bags of fruit that Harper wants to buy.

She is going to buy bags of fruit that cost $4.75 each and one box of crackers that costs $3.50. This means that the total cost of buying x bags of fruits and one box of crackers is

4.75x + 3.5

Harper has $15.00 to spend at the grocery store. Therefore, the inequality that models this situation is

4.75x + 3.5 ≤ 15

4.75x ≤ 15 - 3.5

4.75x ≤ 11.5

x ≤ 11.5/4.75

x ≤ 2.4

Since the number of number of bags of fruit cannot be a fraction, the the maximum number that she can buy is 2

2 bags of fruit

Step-by-step explanation:

one box of crackers = $3.50

$15.00-$3.50 = $11.50

$11.50/$4.75 = 2.42

so she can only buy 2 complete bags of fruit