Question

The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution does she need to use?

Answer 1

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

$\boxed{x + y = 10}$ → 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.

$2 \% x + 10 \% y = 6 \% (10)$

$2x + 10y = 6(10)$

$\boxed{x + 5y = 30}$ → Equation 2

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Equation 1 - Equation 2:

$( x + y ) - ( x + 5y ) = 10 - 30$

$-4y = -20$

$y = -20 \div -4$

$y = 5 \texttt{ ml}$

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$x + y = 10$

$x + 5 = 10$

$x = 5 \texttt{ ml}$

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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 : brainly.com/question/12826246
• Elimination Method : brainly.com/question/11233927
• Sum of The Ages : brainly.com/question/11240586

Answer details

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations