Martha Buys Two Boxes Of Valentine's Day Cards To Give To Her Friends. She Uses $\frac{8}{12}$ Of The Cards From One Box And $\frac{9}{10}$ Of The Cards From The Other Box. How Many Of The Cards Did She Use Altogether?

Introduction

Martha, a thoughtful friend, wants to give Valentine's Day cards to her friends. She purchases two boxes of cards, but before distributing them, she decides to use a portion of the cards from each box. The question arises: how many cards does Martha use altogether? To solve this problem, we need to calculate the total number of cards used from both boxes.

Understanding the Problem

Martha buys two boxes of Valentine's Day cards. Let's assume that each box contains a certain number of cards, denoted by 'x'. We are given that Martha uses $\frac{8}{12}$ of the cards from one box and $\frac{9}{10}$ of the cards from the other box. To find the total number of cards used, we need to calculate the number of cards used from each box and then add them together.

Calculating the Number of Cards Used from Each Box

Let's start by calculating the number of cards used from the first box. We are given that Martha uses $\frac{8}{12}$ of the cards from this box. To find the number of cards used, we can multiply the total number of cards in the box (x) by the fraction $\frac{8}{12}$.

# Import necessary modules
import math

# Define variables
x = 1  # Total number of cards in each box (assuming x = 1 for simplicity)

# Calculate the number of cards used from the first box
cards_used_box1 = (8/12) * x
print("Number of cards used from the first box:", cards_used_box1)

Similarly, we can calculate the number of cards used from the second box. We are given that Martha uses $\frac{9}{10}$ of the cards from this box. To find the number of cards used, we can multiply the total number of cards in the box (x) by the fraction $\frac{9}{10}$.

# Calculate the number of cards used from the second box
cards_used_box2 = (9/10) * x
print("Number of cards used from the second box:", cards_used_box2)

Finding the Total Number of Cards Used

Now that we have calculated the number of cards used from each box, we can find the total number of cards used by adding the number of cards used from each box.

# Calculate the total number of cards used
total_cards_used = cards_used_box1 + cards_used_box2
print("Total number of cards used:", total_cards_used)

Solving the Problem

To solve the problem, we need to find the total number of cards used by Martha. Since we have calculated the number of cards used from each box, we can add them together to find the total number of cards used.

# Define variables
x = 1  # Total number of cards in each box (assuming x = 1 for simplicity)

# Calculate the number of cards used from the first box
cards_used_box1 = (8/12) * x

# Calculate the number of cards used from the second box
cards_used_box2 = (9/10) * x

# Calculate the total number of cards used
total_cards_used = cards_used_box1 + cards_used_box2

# Print the final answer
print("The final answer is", total_cards_used)

Conclusion

In conclusion, Martha uses a total of 1.73 cards from the two boxes of Valentine's Day cards. This is calculated by adding the number of cards used from each box, which is $\frac{8}{12}$ of the cards from the first box and $\frac{9}{10}$ of the cards from the second box.

Final Answer

The final answer is $\boxed{1.73}$.

Introduction

In our previous article, we explored the problem of Martha, a thoughtful friend, who wants to give Valentine's Day cards to her friends. She purchases two boxes of cards, but before distributing them, she decides to use a portion of the cards from each box. We calculated the total number of cards used by Martha, which is $\frac{8}{12} + \frac{9}{10}$. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the total number of cards used by Martha?

A: The total number of cards used by Martha is $\frac{8}{12} + \frac{9}{10}$. To find the total number of cards used, we need to add the number of cards used from each box.

Q: How do I calculate the number of cards used from each box?

A: To calculate the number of cards used from each box, we need to multiply the total number of cards in the box (x) by the fraction representing the portion of cards used. For example, if we want to find the number of cards used from the first box, we can multiply x by $\frac{8}{12}$.

Q: What is the formula for finding the total number of cards used?

A: The formula for finding the total number of cards used is:

Total number of cards used = (Number of cards used from the first box) + (Number of cards used from the second box)

= $\frac{8}{12}x + \frac{9}{10}x$

Q: Can I use a calculator to find the total number of cards used?

A: Yes, you can use a calculator to find the total number of cards used. Simply enter the values of $\frac{8}{12}$ and $\frac{9}{10}$, and multiply them by x.

Q: What if I want to find the total number of cards used for a different value of x?

A: If you want to find the total number of cards used for a different value of x, simply replace x with the new value and recalculate the total number of cards used.

Q: Can I use this formula to find the total number of cards used for any value of x?

A: Yes, you can use this formula to find the total number of cards used for any value of x. The formula is a general formula that can be used to find the total number of cards used for any value of x.

Conclusion

In conclusion, we have answered some frequently asked questions related to the problem of Martha, a thoughtful friend, who wants to give Valentine's Day cards to her friends. We have provided the formula for finding the total number of cards used and explained how to use it to find the total number of cards used for any value of x.

Final Answer

The final answer is $\boxed{1.73}$.