Solution to simple math problem again. .

  • Thread starter johnnyies
  • Start date
In summary: In this case, the model would be money. First, figure out how many nickels and dimes there are.There are 12 nickels and 36 dimes.
  • #1
johnnyies
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0

Homework Statement


Laura has $1.50 in dimes and nickels. She has twice as many dimes as
nickels. How many dimes does she have?

The Attempt at a Solution


12 dimes and 6 nickels, duh.

The actual question is, how would I explain this to an elementary school child who has never had any experience with systems of equations? (the way I did it)
 
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  • #2
Start with variables that represent the number of each type of coin.

Let d = the number of dimes
Let n = the number of dimes.

Now translate the first and second sentences into two equations, keeping in mind that the value of a dime is 10 cents and the value of a nickel is 5 cents. (It's probably easier to write the total value as 150 cents rather than 1.5 dollars.)
 
  • #3
Not sure what level of elementry school you mean, but this might work.

Do it case wise...
The number of dimes dictates the number of nickels.

Start with the most simple case...

1 nickel 2 dimes = $0.25

To small, so go bigger.

100 nickels, 200 dimes = $25

Too big.

There must be something in the middle...

Then pick something you know is close to the answer.

10 dimes, 5 nickels = $1.50

Eventually work up or down to the answer.

However, if you're doing algrbra, try doing the system of equations.
 
  • #4
flatmaster, your approach might be better than mine. I saw the part about explaining to a kid in elementary school, but it didn't really click with me.
 
  • #5
johnnyies said:

Homework Statement


Laura has $1.50 in dimes and nickels. She has twice as many dimes as
nickels. How many dimes does she have?

The Attempt at a Solution


12 dimes and 6 nickels, duh.

The actual question is, how would I explain this to an elementary school child who has never had any experience with systems of equations? (the way I did it)

Use model to relate to algebraic system.
It always work
 

Related to Solution to simple math problem again. .

1. What is a simple math problem?

A simple math problem is a mathematical question that can be solved using basic arithmetic operations such as addition, subtraction, multiplication, and division.

2. What is a solution to a math problem?

A solution to a math problem is the final answer that is obtained after correctly solving the problem using mathematical operations and following the appropriate steps.

3. Can a simple math problem have more than one solution?

Yes, a simple math problem can have more than one solution. For example, the problem "x + 2 = 7" has two solutions, x = 5 and x = -5. In some cases, a problem may also have an infinite number of solutions, such as the problem "x + x = 10", which has an infinite number of solutions.

4. How do I check if my solution to a math problem is correct?

To check if your solution is correct, you can plug the answer back into the original problem and see if it satisfies the given conditions. You can also use a calculator or ask someone else to verify your solution.

5. How can I improve my problem-solving skills in math?

You can improve your problem-solving skills in math by practicing regularly, understanding the fundamental concepts, and breaking down complex problems into smaller, more manageable steps. You can also seek help from a teacher or tutor if you are struggling with a particular concept or type of problem.

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