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Solves Problems and Reasons Logically
Lesson 23
Analyze
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 > Reflection

Example 4:

Mort said that he has more coins than his sister, Ruth. So, he has more money than she does.

  • Is he right?
  • Why or why not?

Explain in detail how you found your answer using words, numbers, and/or pictures.

This problem is asking for two questions to be answered, therefore you are asked to give a 2 point response.

For the first part of the answer needed you want to answer whether Mort is correct that since he has more coins than his sister, he has more money. The second point will be your explanation as to why you think he is right or wrong. To answer this, you want to be sure to understand the problem and what Mort is saying.

With a problem like this, it may be helpful to substitute in a possible situation or two to see what Mort sees. Since Mort says he has more coins than his sister Ruth, let's put together a make believe situation.

As long as Mort has more coins than Ruth, he is right, but is there a way that may not have more money than Ruth? Let's try a couple.

Pretend that Mort has 3 coins, a quarter, a dime, and a penny. Let's say that since Ruth has fewer coins let's give her 2 coins, a quarter and a penny. In this instance, Mort has 36 cents while Ruth has 26 cents so Mort definitely has more money.

You know that there are many situations where Mort can have more money than Ruth, but are there times where Ruth would have more money than Mort? How about this? What if Mort has 3 coins, a dime, a nickel, and a penny. That equals 16 cents. Ruth has fewer coins so let's give her only 2 coins, a quarter and a dime. Ruth has 35 cents! She has more money than Mort in this instance. So, you found out that either Ruth or Mort may have the most money.

Now back to the question, is Mort right that since he has more coins he has more money? Your answer should be, no. Using the examples above you found that Mort or Ruth could have the most money based upon the value of the coins.

For your answer to a question like this be sure to include your answer of no and then be clear with your explanation and include examples that support your solution like above.

Practice 1 >>

 

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