Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25. Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of nuts, n, Annie can buy. (Show all your work)

Question

Philip

Mathematics

28 January, 01:31

Annie has $18.00 to spend at the grocery store. She is going to buy bags of nuts that cost $5.70 each and one box of cookies that costs $4.25. Write and solve an inequality that models this situation and could be used to determine the maximum number of bags of nuts, n, Annie can buy. (Show all your work)

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Answers (1)

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Mark Patton · Answer 1

Answer: She can buy up to 2 bags of nuts

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of bags of nuts bought (n) and the price per bag (5.70); plus the price of one box of cookies (4.25) must be less or equal to Annie's money (18).

5.70n + 4.25 ≤18

Solving for x:

5.70n ≤18 - 4.25

5.70n ≤13.75

n ≤13.75/5.70

n ≤2.41

n ≤2 (rounded)

She can buy up to 2 bags of nuts