Refer To Table HW6-1.Michelle Spends $\$10$ Per Week On Apples And/or Oranges. The Price Of An Apple Is $\$1$ And The Price Of An Orange Is $\$2$. From The Information Given In The Table, Which Of The
Introduction
Michelle is a fruit enthusiast who spends a significant amount of money on apples and oranges every week. The prices of these fruits are well-known, with apples costing $1 each and oranges costing $2 each. In this article, we will analyze Michelle's fruit budget and determine which combination of apples and oranges she can buy with her weekly budget of $10.
The Problem
Michelle's weekly budget for apples and oranges is $10. The prices of these fruits are as follows:
| Fruit | Price |
|---|---|
| Apple | $1 |
| Orange | $2 |
We need to find the combination of apples and oranges that Michelle can buy with her weekly budget of $10.
Analyzing the Problem
Let's assume that Michelle buys x apples and y oranges. The total cost of these fruits will be $1x + $2y. Since Michelle's weekly budget is $10, we can set up the following equation:
$1x + $2y = $10
We can simplify this equation by dividing both sides by $1:
x + 2y = 10
Solving the Equation
To solve this equation, we can use the method of substitution or elimination. Let's use the method of substitution. We can solve for x in terms of y:
x = 10 - 2y
Now, we can substitute this expression for x into the original equation:
(10 - 2y) + 2y = 10
Simplifying this equation, we get:
10 = 10
This equation is true for all values of y. Therefore, Michelle can buy any number of oranges with her weekly budget of $10.
Finding the Maximum Number of Apples
Since Michelle can buy any number of oranges with her weekly budget of $10, we can find the maximum number of apples she can buy by setting y = 0:
x + 2(0) = 10
x = 10
Therefore, Michelle can buy a maximum of 10 apples with her weekly budget of $10.
Finding the Maximum Number of Oranges
Since Michelle can buy any number of oranges with her weekly budget of $10, we can find the maximum number of oranges she can buy by setting x = 0:
1(0) + 2y = 10
2y = 10
y = 5
Therefore, Michelle can buy a maximum of 5 oranges with her weekly budget of $10.
Conclusion
In conclusion, Michelle can buy any number of oranges with her weekly budget of $10. She can also buy a maximum of 10 apples and a maximum of 5 oranges with her weekly budget of $10.
References
- Table HW6-1: Michelle's Fruit Budget
Appendix
The following table shows the possible combinations of apples and oranges that Michelle can buy with her weekly budget of $10:
| Apples | Oranges |
|---|---|
| 0 | 5 |
| 1 | 4 |
| 2 | 3 |
| 3 | 2 |
| 4 | 1 |
| 5 | 0 |
| 6 | -1 |
| 7 | -2 |
| 8 | -3 |
| 9 | -4 |
| 10 | -5 |
Introduction
In our previous article, we analyzed Michelle's fruit budget and determined which combination of apples and oranges she can buy with her weekly budget of $10. In this article, we will answer some frequently asked questions about Michelle's fruit budget.
Q: What is Michelle's weekly budget for apples and oranges?
A: Michelle's weekly budget for apples and oranges is $10.
Q: How much does an apple cost?
A: An apple costs $1.
Q: How much does an orange cost?
A: An orange costs $2.
Q: Can Michelle buy any number of oranges with her weekly budget of $10?
A: Yes, Michelle can buy any number of oranges with her weekly budget of $10.
Q: Can Michelle buy a maximum of 10 apples with her weekly budget of $10?
A: Yes, Michelle can buy a maximum of 10 apples with her weekly budget of $10.
Q: Can Michelle buy a maximum of 5 oranges with her weekly budget of $10?
A: Yes, Michelle can buy a maximum of 5 oranges with her weekly budget of $10.
Q: What is the maximum number of apples and oranges that Michelle can buy with her weekly budget of $10?
A: The maximum number of apples that Michelle can buy with her weekly budget of $10 is 10, and the maximum number of oranges that she can buy is 5.
Q: Can Michelle buy a combination of apples and oranges that adds up to $10?
A: Yes, Michelle can buy a combination of apples and oranges that adds up to $10. For example, she can buy 5 apples and 0 oranges, or 0 apples and 5 oranges.
Q: What is the possible combinations of apples and oranges that Michelle can buy with her weekly budget of $10?
A: The possible combinations of apples and oranges that Michelle can buy with her weekly budget of $10 are:
| Apples | Oranges |
|---|---|
| 0 | 5 |
| 1 | 4 |
| 2 | 3 |
| 3 | 2 |
| 4 | 1 |
| 5 | 0 |
| 6 | -1 |
| 7 | -2 |
| 8 | -3 |
| 9 | -4 |
| 10 | -5 |
Note that the combinations with a negative number of oranges are not possible, as Michelle cannot buy a negative number of oranges.
Conclusion
In conclusion, Michelle's fruit budget is a simple yet interesting problem that can be solved using basic algebra. We hope that this Q&A guide has helped to clarify any questions you may have had about Michelle's fruit budget.
References
- Table HW6-1: Michelle's Fruit Budget
- Previous article: Michelle's Fruit Budget: A Mathematical Analysis