Select The Correct Option.A Survey Of A Total Of 30 Girls Shows The Type Of Drink That Each Girl Likes. The Survey Showed That 15 Girls Like To Drink Milkshakes, And The Rest Drink Juice. Write An Addition Equation That Represents This Word Problem And
In this article, we will delve into a word problem that involves creating an addition equation to represent the given scenario. The problem states that a survey of 30 girls shows the type of drink that each girl likes. Out of the 30 girls, 15 like to drink milkshakes, and the rest drink juice. Our goal is to create an addition equation that represents this word problem.
Identifying the Key Elements
To create an addition equation, we need to identify the key elements of the word problem. These elements include:
- The total number of girls surveyed, which is 30.
- The number of girls who like to drink milkshakes, which is 15.
- The number of girls who drink juice, which is the rest of the girls surveyed.
Creating the Addition Equation
Now that we have identified the key elements, we can create an addition equation to represent the word problem. Let's denote the number of girls who drink juice as x. Since the total number of girls surveyed is 30, and 15 like to drink milkshakes, the number of girls who drink juice is 30 - 15 = 15.
The addition equation can be written as:
15 + 15 = 30
This equation represents the total number of girls surveyed, which is 30. The left-hand side of the equation represents the number of girls who like to drink milkshakes (15) and the number of girls who drink juice (15).
Simplifying the Equation
We can simplify the equation by combining the like terms on the left-hand side. Since both terms are 15, we can add them together to get:
30 = 30
This simplified equation still represents the total number of girls surveyed, which is 30.
Discussion
In this article, we created an addition equation to represent a word problem involving a survey of 30 girls. We identified the key elements of the word problem, including the total number of girls surveyed, the number of girls who like to drink milkshakes, and the number of girls who drink juice. We then created an addition equation to represent the word problem and simplified the equation to get the final answer.
Conclusion
In conclusion, creating an addition equation to represent a word problem involves identifying the key elements of the problem and using those elements to write an equation. In this article, we created an addition equation to represent a word problem involving a survey of 30 girls and simplified the equation to get the final answer.
Real-World Applications
The concept of creating an addition equation to represent a word problem has real-world applications in various fields, including mathematics, science, and engineering. For example, in mathematics, addition equations are used to represent real-world scenarios such as calculating the total cost of items, finding the sum of two or more numbers, and solving problems involving money.
In science, addition equations are used to represent real-world scenarios such as calculating the total amount of a substance, finding the sum of two or more measurements, and solving problems involving physical quantities.
In engineering, addition equations are used to represent real-world scenarios such as calculating the total force or torque, finding the sum of two or more forces or torques, and solving problems involving mechanical systems.
Tips and Tricks
Here are some tips and tricks for creating addition equations to represent word problems:
- Identify the key elements of the word problem, including the total number of items, the number of items of each type, and any other relevant information.
- Use variables to represent the unknown quantities in the word problem.
- Write an equation to represent the word problem, using the variables and the key elements of the problem.
- Simplify the equation to get the final answer.
By following these tips and tricks, you can create addition equations to represent word problems and solve real-world problems involving addition.
Common Mistakes
Here are some common mistakes to avoid when creating addition equations to represent word problems:
- Failing to identify the key elements of the word problem.
- Using the wrong variables to represent the unknown quantities in the word problem.
- Writing an equation that does not accurately represent the word problem.
- Failing to simplify the equation to get the final answer.
By avoiding these common mistakes, you can create addition equations to represent word problems and solve real-world problems involving addition.
Conclusion
In this article, we will answer some frequently asked questions about creating addition equations to represent word problems.
Q: What is the first step in creating an addition equation to represent a word problem?
A: The first step in creating an addition equation to represent a word problem is to identify the key elements of the problem. These elements include the total number of items, the number of items of each type, and any other relevant information.
Q: How do I identify the key elements of a word problem?
A: To identify the key elements of a word problem, read the problem carefully and look for the following information:
- The total number of items
- The number of items of each type
- Any other relevant information, such as the cost of each item or the number of people involved
Q: What is the next step in creating an addition equation to represent a word problem?
A: The next step in creating an addition equation to represent a word problem is to write an equation using the key elements of the problem. This equation should represent the total number of items, the number of items of each type, and any other relevant information.
Q: How do I write an equation to represent a word problem?
A: To write an equation to represent a word problem, use variables to represent the unknown quantities in the problem. For example, if the problem involves a total of 30 items, and 15 of them are of one type, you can write an equation like this:
15 + x = 30
In this equation, x represents the number of items of the other type.
Q: What is the final step in creating an addition equation to represent a word problem?
A: The final step in creating an addition equation to represent a word problem is to simplify the equation to get the final answer. This involves combining like terms and solving for the unknown quantity.
Q: How do I simplify an equation to get the final answer?
A: To simplify an equation to get the final answer, combine like terms and solve for the unknown quantity. For example, if the equation is:
15 + x = 30
You can simplify it by combining the like terms:
x = 15
Q: What are some common mistakes to avoid when creating addition equations to represent word problems?
A: Some common mistakes to avoid when creating addition equations to represent word problems include:
- Failing to identify the key elements of the problem
- Using the wrong variables to represent the unknown quantities in the problem
- Writing an equation that does not accurately represent the problem
- Failing to simplify the equation to get the final answer
Q: How can I practice creating addition equations to represent word problems?
A: You can practice creating addition equations to represent word problems by:
- Working through examples and exercises in a math textbook or online resource
- Creating your own word problems and writing equations to represent them
- Solving real-world problems involving addition, such as calculating the total cost of items or finding the sum of two or more numbers
Q: What are some real-world applications of creating addition equations to represent word problems?
A: Some real-world applications of creating addition equations to represent word problems include:
- Calculating the total cost of items in a store
- Finding the sum of two or more numbers in a scientific or engineering context
- Solving problems involving physical quantities, such as force or torque
- Representing real-world scenarios in a mathematical or scientific context
Conclusion
In conclusion, creating addition equations to represent word problems involves identifying the key elements of the problem, writing an equation using those elements, and simplifying the equation to get the final answer. By following these steps and avoiding common mistakes, you can create addition equations to represent word problems and solve real-world problems involving addition.