systems of linear equations real-world problems block 45
DESCRIPTION
System of Linear Equations Many problems lend themselves to being solved with systems of linear equations. In real life, these problems can be incredibly complex.TRANSCRIPT
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Systems of Linear Equations
Real-World Problems
Block 45
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System of Linear Equations
The admission fee at a school fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
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System of Linear Equations
Many problems lend themselves to being solved with systems of linear equations.
In real life, these problems can be incredibly complex.
![Page 4: Systems of Linear Equations Real-World Problems Block 45](https://reader035.vdocuments.us/reader035/viewer/2022070616/5a4d1bf87f8b9ab0599ea066/html5/thumbnails/4.jpg)
System of Linear Equations
This is one reason why using linear systems is one way to solve these type problems.
Example #1: The admission fee at a school fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
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System of Linear Equations
The admission fee at a school fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
C + A = 2200
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System of Linear Equations
The admission fee at a school fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
1.5C +4.0 A = 5050
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System of Linear EquationsThe admission fee at a school fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
C + A = 22001.5C +4.0 A = 5050
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System of Linear Equations
C + A = 22001.5C +4.0 A = 5050
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System of Linear Equations
Example #2: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
T + U = 7
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System of Linear Equations
Example #2: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
TU is number – written as 10T + U UT is number reversed – written as 10U + T
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System of Linear Equations
Example #2: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
T + U = 7Digits reversed # increased by 27
10U+T = 10T+U+27
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System of Linear Equations
Example #2: The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
T + U = 710U+T = 10T+U+27
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System of Linear EquationsReal-World Problems
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System of Linear EquationsReal-World Problems
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