Audrey Has X X X Pounds Of Red Grapes And Y Y Y Pounds Of Green Grapes. She Has Less Than 5 Pounds Of Grapes In All.Which Are Reasonable Solutions For This Situation? Check All That Apply.A. ( − 1 , 2 (-1, 2 ( − 1 , 2 ]B. ( 1 , 3.5 (1, 3.5 ( 1 , 3.5 ]C.

Introduction

Audrey has a certain amount of red grapes and green grapes, denoted by $x$ and $y$ pounds respectively. The total weight of grapes she has is less than 5 pounds. In this article, we will explore the reasonable solutions for this situation.

Understanding the Problem

The problem states that Audrey has less than 5 pounds of grapes in total. This means that the sum of the weight of red grapes ($x$) and green grapes ($y$) must be less than 5 pounds. Mathematically, this can be represented as:

$$x + y < 5$$

Reasonable Solutions

To find the reasonable solutions, we need to consider the possible values of $x$ and $y$ that satisfy the given condition. Let's analyze each option:

A. $(-1, 2)$

• Weight of red grapes: $x = -1$ pounds
• Weight of green grapes: $y = 2$ pounds
• Total weight: $x + y = -1 + 2 = 1$ pounds

This solution is reasonable because the total weight of grapes is less than 5 pounds.

B. $(1, 3.5)$

• Weight of red grapes: $x = 1$ pound
• Weight of green grapes: $y = 3.5$ pounds
• Total weight: $x + y = 1 + 3.5 = 4.5$ pounds

This solution is also reasonable because the total weight of grapes is less than 5 pounds.

C. $(0, 5)$

• Weight of red grapes: $x = 0$ pounds
• Weight of green grapes: $y = 5$ pounds
• Total weight: $x + y = 0 + 5 = 5$ pounds

This solution is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.

D. $(2, 3)$

• Weight of red grapes: $x = 2$ pounds
• Weight of green grapes: $y = 3$ pounds
• Total weight: $x + y = 2 + 3 = 5$ pounds

This solution is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.

E. $(-2, 7)$

• Weight of red grapes: $x = -2$ pounds
• Weight of green grapes: $y = 7$ pounds
• Total weight: $x + y = -2 + 7 = 5$ pounds

This solution is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.

F. $(4, 0)$

• Weight of red grapes: $x = 4$ pounds
• Weight of green grapes: $y = 0$ pounds
• Total weight: $x + y = 4 + 0 = 4$ pounds

This solution is reasonable because the total weight of grapes is less than 5 pounds.

G. $(0, 0)$

• Weight of red grapes: $x = 0$ pounds
• Weight of green grapes: $y = 0$ pounds
• Total weight: $x + y = 0 + 0 = 0$ pounds

This solution is reasonable because the total weight of grapes is less than 5 pounds.

Conclusion

In conclusion, the reasonable solutions for Audrey's grapes are:

• $(-1, 2)$
• $(1, 3.5)$
• $(0, 5)$ is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.
• $(2, 3)$ is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.
• $(-2, 7)$ is not reasonable because the total weight of grapes is equal to 5 pounds, not less than 5 pounds.
• $(4, 0)$
• $(0, 0)$

Introduction

In our previous article, we explored the reasonable solutions for Audrey's grapes, where she has a certain amount of red grapes and green grapes, denoted by $x$ and $y$ pounds respectively. The total weight of grapes she has is less than 5 pounds. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the total weight of grapes in option A?

A: The total weight of grapes in option A is 1 pound, which is calculated as $x + y = -1 + 2 = 1$ pounds.

Q: Is option B a reasonable solution?

A: Yes, option B is a reasonable solution because the total weight of grapes is less than 5 pounds, which is calculated as $x + y = 1 + 3.5 = 4.5$ pounds.

Q: What is the weight of red grapes in option C?

A: The weight of red grapes in option C is 0 pounds, which is denoted by $x = 0$ pounds.

Q: Is option D a reasonable solution?

A: No, option D is not a reasonable solution because the total weight of grapes is equal to 5 pounds, not less than 5 pounds, which is calculated as $x + y = 2 + 3 = 5$ pounds.

Q: What is the weight of green grapes in option E?

A: The weight of green grapes in option E is 7 pounds, which is denoted by $y = 7$ pounds.

Q: Is option F a reasonable solution?

A: Yes, option F is a reasonable solution because the total weight of grapes is less than 5 pounds, which is calculated as $x + y = 4 + 0 = 4$ pounds.

Q: What is the weight of red grapes in option G?

A: The weight of red grapes in option G is 0 pounds, which is denoted by $x = 0$ pounds.

Q: Is option G a reasonable solution?

A: Yes, option G is a reasonable solution because the total weight of grapes is less than 5 pounds, which is calculated as $x + y = 0 + 0 = 0$ pounds.

Q: What is the total weight of grapes in option H?

A: There is no option H in our previous article.

Q: Is option I a reasonable solution?

A: There is no option I in our previous article.

Q: What is the weight of green grapes in option J?

A: There is no option J in our previous article.

Q: Is option K a reasonable solution?

A: There is no option K in our previous article.

Conclusion

In conclusion, we have answered some frequently asked questions related to Audrey's grapes. We hope that this Q&A guide has provided you with a better understanding of the problem and its solutions.

Additional Tips

• When solving problems like this, it's essential to read the problem carefully and understand what is being asked.
• Make sure to calculate the total weight of grapes correctly.
• Check if the total weight of grapes is less than 5 pounds.

By following these tips, you can solve problems like this with ease.