Volumes of 2% Solution = 5 ml
Volumes of 10% Solution = 5 ml
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Further explanation
Simultaneous Linear Equations could be solved by using several methods such as :
- Elimination Method
- Substitution Method
- Graph Method
If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.
Let us tackle the problem!
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Let:
Volumes of 2% Solution = x
Volumes of 10% Solution = y
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Total Volume = 10 ml
[tex]\boxed{x + y = 10}[/tex] → Equation 1
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The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution.
[tex]2 \% x + 10 \% y = 6 \% (10)[/tex]
[tex]2x + 10y = 6(10)[/tex]
[tex]\boxed{x + 5y = 30}[/tex] → Equation 2
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Equation 1 - Equation 2:
[tex]( x + y ) - ( x + 5y ) = 10 - 30[/tex]
[tex]-4y = -20[/tex]
[tex]y = -20 \div -4[/tex]
[tex]y = 5 \texttt{ ml}[/tex]
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[tex]x + y = 10[/tex]
[tex]x + 5 = 10[/tex]
[tex]x = 5 \texttt{ ml}[/tex]
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Conclusion:
Volumes of 2% Solution = 5 ml
Volumes of 10% Solution = 5 ml
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Learn more
- Perimeter of Rectangle : https://brainly.com/question/12826246
- Elimination Method : https://brainly.com/question/11233927
- Sum of The Ages : https://brainly.com/question/11240586
Answer details
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
