Math Problem Statement
Solution
To solve this problem, we need to set up inequalities based on the given information:
-
Total weight requirement: Amy needs at least 5 pounds of fruit.
- This can be written as: where represents the pounds of watermelon, and represents the pounds of bananas.
-
Budget constraint: Amy has a maximum of $25 to spend.
- Since watermelon costs $2.25 per pound and bananas cost $1.50 per pound, the total cost must satisfy:
Now, we match this system of inequalities to the answer choices.
Correct Answer: D
Explanation:
- (minimum weight requirement)
- (cost constraint)
Let me know if you would like further details or have questions!
Related Questions
- How would the solution change if Amy had a budget of $30 instead of $25?
- What would happen if bananas cost $2.00 per pound instead of $1.50?
- Can you solve for the maximum amount of watermelon Amy could buy within the budget?
- How would the inequalities change if Amy needed exactly 5 pounds of fruit?
- What if watermelon and bananas had to be bought in whole pounds?
Tip
When setting up inequalities, always define each variable and make sure the inequality matches the conditions of the problem (such as minimum/maximum constraints).
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Math Problem Analysis
Mathematical Concepts
Algebra
Inequalities
Systems of Inequalities
Formulas
x + y ≥ 5 (minimum weight requirement)
2.25x + 1.50y ≤ 25 (budget constraint)
Theorems
Properties of inequalities
Suitable Grade Level
Grade 8-10
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