A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution. How many milliliters of the 10% solution and how many milliliters of a 25% solution should the scientist mix to make the 20% solution?

40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

Step-by-step explanation:

Given:

A scientist needs 120 ML of a 20% acid solution for an experiment. The lab has available at 10% solution and a 25% solution.

Now, to find the milliliters of 10% solution and 25% solution to make 20% solution:

Let the 10% solution be

And let the 25% solution be

So, total milliliters of solution are:

Now, to get the milliliters of 10% solution and 25% solution to make 20% solution we solve the equation:

Substituting the value of from equation (1) we get:

Subtracting both sides by 12 we get:

Dividing both sides by 0.15 we get:

Thus, the 25% solution is 80 ml.

Now, substituting the value of in equation (1) we get:

Hence, the 10% solution is 40 ml.

Therefore, 40 milliliters of the 10% solution and 80 milliliters of the 25% solution the scientist should mix to make the 20% solution.

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step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.