Finding the Amounts Received by the Second and Third Girls

Oct 13, 2025 by windailys.com 71 views

To Go Shopping: A Math Problem of Three Girls

In this article, we will solve a math problem involving three girls who go shopping together. Each girl receives a certain amount of money, and we need to find out how much each girl received. The problem is as follows: the first girl receives $55,000, the second girl receives $5,000 more than the first, and the third girl receives the sum of the other two meetings. We will use basic algebraic equations to solve this problem.

Let's denote the amount of money the first girl received as x. The second girl received $5,000 more than the first, so the amount of money the second girl received is x + 5,000. The third girl received the sum of the other two meetings, which is x + (x + 5,000).

We can set up an equation based on the information given in the problem. Let's say the total amount of money the three girls received is equal to the sum of the amounts each girl received. We can write this as:

x + (x + 5,000) + (2x + 5,000) = 100,000

Now, let's simplify the equation by combining like terms:

3x + 10,000 = 100,000

Subtracting 10,000 from Both Sides

Next, we'll subtract 10,000 from both sides of the equation to isolate the term with the variable:

3x = 90,000

Dividing Both Sides by 3

Now, we'll divide both sides of the equation by 3 to solve for x:

x = 30,000

Finding the Amounts Received by the Second and Third Girls

Now that we know the amount of money the first girl received, we can find the amounts received by the second and third girls. The second girl received $5,000 more than the first, so she received:

x + 5,000 = 30,000 + 5,000 = 35,000

The third girl received the sum of the other two meetings, which is:

2x + 5,000 = 2(30,000) + 5,000 = 65,000

In this article, we solved a math problem involving three girls who go shopping together. We used basic algebraic equations to find the amounts of money each girl received. The first girl received $30,000, the second girl received $35,000, and the third girl received $65,000.

The first girl received $30,000.
The second girl received $35,000.
The third girl received $65,000.
The problem can be solved using basic algebraic equations.
The total amount of money the three girls received is $100,000.

This problem can be applied to real-world situations where three or more people are involved in a financial transaction. For example, if three friends are planning a trip together and need to split the cost of accommodations, food, and transportation, they can use this problem to determine how much each person should pay.

To make the problem more challenging, you can add more variables or constraints.
To make the problem easier, you can use simpler equations or provide more information.
You can also use this problem as a starting point to explore more advanced mathematical concepts, such as systems of equations or linear programming.

In conclusion, this article solved a math problem involving three girls who go shopping together. We used basic algebraic equations to find the amounts of money each girl received. The problem can be applied to real-world situations and can be modified to make it more challenging or easier.
To Go Shopping: A Math Problem of Three Girls - Q&A

In our previous article, we solved a math problem involving three girls who go shopping together. We used basic algebraic equations to find the amounts of money each girl received. In this article, we will answer some common questions related to the problem.

Q: What is the total amount of money the three girls received?

A: The total amount of money the three girls received is $100,000.

Q: How much did the first girl receive?

A: The first girl received $30,000.

Q: How much did the second girl receive?

A: The second girl received $35,000.

Q: How much did the third girl receive?

A: The third girl received $65,000.

Q: What is the difference between the amount received by the second and third girls?

A: The difference between the amount received by the second and third girls is $30,000.

Q: What is the ratio of the amount received by the first girl to the amount received by the second girl?

A: The ratio of the amount received by the first girl to the amount received by the second girl is 6:7.

Q: Can we use this problem to find the amount received by the third girl if we know the amount received by the first girl?

A: Yes, we can use this problem to find the amount received by the third girl if we know the amount received by the first girl. We can simply add the amount received by the first girl to the amount received by the second girl and then add $5,000.

Q: Can we use this problem to find the amount received by the second girl if we know the amount received by the third girl?

A: Yes, we can use this problem to find the amount received by the second girl if we know the amount received by the third girl. We can simply subtract $5,000 from the amount received by the third girl and then subtract the amount received by the first girl.

Q: Can we use this problem to find the amount received by the first girl if we know the amount received by the second and third girls?

A: Yes, we can use this problem to find the amount received by the first girl if we know the amount received by the second and third girls. We can simply subtract the amount received by the second girl from the amount received by the third girl and then subtract $5,000.

In this article, we answered some common questions related to the math problem involving three girls who go shopping together. We hope this Q&A article helps to clarify any doubts and provides a better understanding of the problem.

The total amount of money the three girls received is $100,000.
The first girl received $30,000.
The second girl received $35,000.
The third girl received $65,000.
We can use this problem to find the amount received by any of the girls if we know the amounts received by the other two girls.

To make the problem more challenging, you can add more variables or constraints.
To make the problem easier, you can use simpler equations or provide more information.
You can also use this problem as a starting point to explore more advanced mathematical concepts, such as systems of equations or linear programming.