Amy is making a fruit salad for a potluck at work. She can spend at most $25 on fruit. Watermelon costs 2.25 per pound and bananas cost 1.50 per pound. She will need at least 5 pounds of fruit for her salad.

Which system of inequalities can be used to determine the pounds of watermelon, x, and the pounds of bananas, y, Amy bought?
A.x + y > 5
2.25x + 1.50y < 25
B.x + y ≥ 25
2.25x + 1.50y ≤ 5
C.x + y ≥ 5
1.50x + 2.25y ≤ 25
D.x + y ≥ 5
2.25x + 1.50y ≤ 25

To set up the system of inequalities, let's break down the conditions given:

1. **Budget Constraint**: Amy can spend **at most** $25 on fruit. Since watermelon costs $2.25 per pound and bananas cost $1.50 per pound, this translates to the inequality:
   \[
   2.25x + 1.50y \leq 25
   \]

2. **Weight Requirement**: Amy needs **at least 5 pounds** of fruit. This means that the total weight of the watermelon and bananas combined must be **at least** 5 pounds, giving the inequality:
   \[
   x + y \geq 5
   \]

Given these conditions, the correct answer is:

**D.**  
\[
x + y \geq 5
\]
\[
2.25x + 1.50y \leq 25
\]

Would you like further details on solving such inequalities, or have any questions?

Here are some additional practice questions:

1. What is the maximum amount of bananas Amy can buy if she buys 3 pounds of watermelon?
2. If Amy spends exactly $25, what could be the weight combinations of watermelon and bananas?
3. How would the inequalities change if bananas cost $2.00 per pound instead?
4. Can Amy buy only watermelon and still meet the requirements?
5. What combinations of $ x $ and $ y $ would result in exactly 5 pounds of fruit?

**Tip**: When setting up inequalities, look carefully at phrases like "at most" and "at least" to determine whether the inequality is $ \leq $, $ \geq $, etc.

Amy is making a fruit salad for a potluck at work. She can spend at most $25 on fruit. Watermelon costs 2.25 per pound and bananas cost 1.50 per pound. She will need at least 5 pounds of fruit for her salad.

Which system of inequalities can be used to determine the pounds of watermelon, x, and the pounds of bananas, y, Amy bought?

A. x + y > 5
2.25x + 1.50y < 25
B. x + y ≥ 25
2.25x + 1.50y ≤ 5
C. x + y ≥ 5
1.50x + 2.25y ≤ 25
D. x + y ≥ 5
2.25x + 1.50y ≤ 25

Explore a real-life problem involving a budget constraint and weight requirement for a fruit salad. Learn how to set up and solve a system of inequalities where watermelon and banana costs and weight constraints are given. Perfect for students in Grades 7-10.

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