Solve math problem w/ no algebra

  • Thread starter johnnyies
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    Algebra
In summary, to find out how many stamps Daniel has, we can use a simple trial and error method by assuming different numbers for his stamp count and adjusting accordingly until we find the correct number that satisfies the given information. This can also be thought of as a form of binary search.
  • #1
johnnyies
93
0

Homework Statement


Daniel has 7 more stamps than Sherry. Together, they have 101 stamps.
How many stamps does Daniel have?

Homework Equations


let x equal how many stamps daniel has

x - 7 + x = 101
2 x = 108
x = 54

101 - 54 = 47

The Attempt at a Solution


Now, we can easily solve this w/ some algebraic equations, but how can we do this without any algebra, or just at an elementary school understanding of math?
 
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  • #2
Trial and error would work fine...why?
 
  • #3
Easy,

You take the total number of stamps, and take the extra 7 away.

101-7 = 94

Now they have an equal number of stamps, so let's split them in half equally.

94/2 = 47

Now they each have 47 stamps, but Daniel has 7 more so,

47 + 7 = 54.

Stamp count:

Sherry: 47
Daniel: 54
 
  • #4
johnnyies said:

Homework Statement


Daniel has 7 more stamps than Sherry. Together, they have 101 stamps.
How many stamps does Daniel have?

Homework Equations


let x equal how many stamps daniel has

x - 7 + x = 101
2 x = 108
x = 54

101 - 54 = 47

The Attempt at a Solution


Now, we can easily solve this w/ some algebraic equations, but how can we do this without any algebra, or just at an elementary school understanding of math?


I do understand that you want this to be as comprehensive a possible,
try not to use x to represent the stamps Daniel has , instead we may use "d" as the student can establish an relationship. And soon they adopt the use of algebra unknowingly. (=
 
  • #5
Daniel has 7 more stamps than Sherry. Together, they have 101 stamps.
How many stamps does Daniel have?

same suggestion as gabbagabbahey.

We know Daniel cannot have more than 101 stamps. So assume that he has 50 stamps, Sherry would have 50-7. Total equals 50+50-7 which is less than 101.

Next assumption 60. Sherry would have 60-7 and total 60+60-7 which is more than 101.

Next assumption 55...

This is not trail and error to be honest. It is more like binary search. You keep on reducing the interval like I went from 50 to 60, then 50 to 55, .. then 52.5 to 55
 

Related to Solve math problem w/ no algebra

1. How can I solve a math problem without using algebra?

There are several techniques that can be used to solve math problems without using algebra. These include drawing diagrams, using guess and check, using logical reasoning, and breaking the problem down into smaller, more manageable parts.

2. Is it possible to solve complex math problems without algebra?

Yes, it is possible to solve complex math problems without using algebra. While algebra can be a useful tool for solving equations and finding unknown variables, there are other problem-solving strategies that can be equally effective.

3. Can I use any other math concepts besides algebra to solve problems?

Absolutely! Math is a vast subject with many different branches and concepts. Other math concepts that can be used to solve problems include geometry, probability, statistics, and calculus. It's important to have a strong foundation in various math concepts to be able to approach problems from different angles.

4. What are the benefits of solving math problems without algebra?

Solving math problems without algebra can help to improve critical thinking and problem-solving skills. It also allows for a deeper understanding of mathematical concepts and can be helpful for those who struggle with algebraic equations.

5. Are there any resources available for learning how to solve math problems without algebra?

Yes, there are many online resources and books available for learning alternative problem-solving techniques. These resources can provide step-by-step instructions and practice problems to help improve your skills in solving math problems without algebra. Additionally, seeking help from a math tutor or teacher can also be beneficial in learning new problem-solving strategies.

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