Transforming statements into equations help

  • Thread starter kashan123999
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In summary, the conversation discusses a difficulty in creating equations from a given statement, where a baseball team won 54 more games than it lost. The conversation provides guidance on how to approach the problem by identifying independent variables and using them to create equations. It is suggested that the total number of games is equal to the number of games won plus the number of games lost, and that the number of games won is equal to the number of games lost plus 54. Further guidance is suggested to check a similar question in a forum for additional help.
  • #1
kashan123999
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I am having difficulty of making equations from the following statement...

"A baseball team won 54 more games than it lost"??
 
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  • #2
Hey kashan123999.

Hint: When you come across a mathematical problem, think about what the independent variables.

As an example. if x is the number of games won and y is the number of games lost then you have the relationship

x = y + 54 and
x + y = n where n is the total number of games played.
 
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  • #3
chiro said:
Hey kashan123999.

Hint: When you come across a mathematical problem, think about what the independent variables.

As an example. if x is the number of games won and y is the number of games lost then you have the relationship

x = y + 54 and
x + y = n where n is the total number of games played.

i still couldn't get that x = y + 54... i could comprehend the expression y + 54 but wasn't able to put equality against something...how that is equal to total no. of games won :'(
 
  • #4
Look at it this way:

W = no. of games won
L = no. of games lost
T = total no. of games

In baseball, games are played so that there are no ties in the score.

Obviously, the total number of games = no. of games won by a team plus the number of games lost.

So we have our first equation: T = W + L

Now, the second equation is no. of wins = no. of losses + 54. 'Team won 54 more games than it lost.'

We would write this in equation form: W = L + 54
 
  • #5
SteamKing said:
Look at it this way:

W = no. of games won
L = no. of games lost
T = total no. of games

In baseball, games are played so that there are no ties in the score.

Obviously, the total number of games = no. of games won by a team plus the number of games lost.

So we have our first equation: T = W + L

Now, the second equation is no. of wins = no. of losses + 54. 'Team won 54 more games than it lost.'

We would write this in equation form: W = L + 54

But sir do check that: I am not getting the correct answer

https://www.physicsforums.com/showthread.php?t=705722
 
  • #6
Same question, same author, in Homework & Coursework Questions section. The guidance there should be very useful.
 

What is the purpose of transforming statements into equations?

Transforming statements into equations helps to represent real-world situations or problems in a mathematical form. This makes it easier to analyze and solve the problem using mathematical techniques and tools.

How do you transform a statement into an equation?

To transform a statement into an equation, you first need to identify the mathematical operations and variables involved. Then, represent the operations using appropriate symbols and write an expression that represents the relationship between the variables. Finally, use the equals sign (=) to show that both sides of the equation are equal.

What are some common mathematical symbols used in equations?

Some common mathematical symbols used in equations include addition (+), subtraction (-), multiplication (*), division (/), and the equals sign (=). Other symbols such as parentheses (), brackets [], and exponents (^) are also used to show the order of operations.

Why is it important to balance equations?

In mathematics, balancing an equation means ensuring that both sides of the equation have the same value. This is important because it helps to maintain the equilibrium of the equation and ensures that the solution obtained is accurate and valid.

What are some practical applications of transforming statements into equations?

Transforming statements into equations is used in various fields such as physics, engineering, finance, and economics to model real-world situations and solve problems. For example, in physics, equations are used to calculate the speed, distance, and acceleration of moving objects. In finance, equations are used to calculate interest rates and investment returns.

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