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.
Answers
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.
Then to solve, first subtract 3.50 from both sides to get:
11.50
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.
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