A chemist needs 170 ml of a 71% solution,but only has 59% and 93% solutions available.find how many ml of each that dhould be mixed to get the desired solution

Respuesta :

Answer:

110 ml of 59% solution is mixed with 60 ml oh 93# solution to get the desired solution.

Step-by-step explanation:

We are given the following in the question:

170 ml of 71 solution is to be made.

Let x be the amount of 59% solution used and y be the amount of 93% solution used.

Total volume = 170 ml

Thus, we can write the equation,

[tex]x + y = 170\\y= 170-x[/tex]

Desired solution  = 71%

Thus, we can write the equation:

[tex]170(0.71) = x(0.59) + y(0.93)\\120.7 = 0.59x + 0.93y[/tex]

Solving the two equations, we get,

[tex]120.7 = 0.59x + 0.93(170-x)\\120.7 = 0.59x + 158.1-0.93x\\0.34x =37.4 \\x = 110\\y = 170-110-60[/tex]

Thus, 110 ml of 59% solution is mixed with 60 ml oh 93# solution to get the desired solution.

Answer:

110 ml of 59% solution is mixed with 60 ml oh 93# solution to get the desired solution.