Question

Harper has $15.00 to spend at her 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 e the maximum number of bags of fruit, (b), Harper can buy.
Show your work.

Answer 1

Answer: The required inequality is,

4.75 b +3.50 ≤ 15.00

Step-by-step explanation:

Here, b represents the number of bags of fruit bought by her,

Since, the cost of each bag of fruits = $ 4.75,

⇒ The cost of b bags of fruit = 4.75b dollars,

Also, she buy one box of crackers that costs $3.50,

Thus, her total expenditure = 4.75 b + 3.50

According to the question,

Her total expenditure can not exceed to $ 15.00,

⇒  4.75 b + 3.50 ≤ 15.00

Which is the required inequality that is used to determine the maximum number of bags of fruit bought by her.

Answer 2

First write the inequality:    15$\leq$4.75x +3.50

Then to solve, first subtract 3.50 from both sides to get:

11.50$\leq$4.75x

Then divide by 4.75 to get 2.42, and since you can't buy .42 of a bag  of fruit, you round down. So your final answer would be 2 bags of fruit.