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Paha777 [63]
3 years ago
14

The concentration of the mixture obtained by mixing two solutions, A and B, is 6 2/3 %. The concentration of the second mixture

obtained by mixing the same two solutions is 16.7%. Find the concentration of each of the solutions A and B, if the first mixture is obtained by mixing them in 2:7 ratio and the second is obtained by mixing them in 7:3 ratio.
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer:

Concentration of solution A = 23%

and concentration of solution B = 2%

Step-by-step explanation:

Lets get started

lets say that we concentration of solution A be x% and concentration of second solution be y%

we also know that first mixture is obtained by mixing them in ratio of 2:7

so linear equation representing this situation can be written as:

2(x%)+7(y%)= 9(6.66%)    

changing percentage to decimal we get,

.02x+.07y=9(.0666)

.02x+.07y = 0.6          (equation 1 )

similarly , second mixture is obtained by mixing them in ratio of 7:3

so linear equation can be written as:

7(x%)+3(y%) = 10(16.7%)

.07x +.03y = 1.67     (equation 2)

solving equations 1 and 2  we get

x =  23 and y = 2

so concentration of solution A = 23%

and concentration of solution B = 2%

That's the final answer

Hope it was helpful !!




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Step-by-step explanation:

Lets solve all the expressions to match the results.

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<em>Solving the expression</em>

5\left(2t+1\right)+\left(-7t+28\right)

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<em>Solving the expression</em>

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<em>Solving the expression</em>

\left(4t-\frac{8}{5}\right)-\left(3-\frac{4}{3}t\right)

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

4t-\frac{8}{5}-\left(3-\frac{4}{3}t\right)

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\mathrm{Group\:like\:terms}

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Learn more about algebraic expression from brainly.com/question/11336599

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