Question

Please answer the question below . Help is greatly appreciated!

Answer 1

Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The jar contains 100 ml of oil and water in the ratio 1:4, hence:

• The amount of oil is: 1/5 x 100 = 20 ml.

• The amount of water is: 4/5 x 100 = 80 ml.

Oil was added to make the ratio 1/2, hence:

$\frac{20 + x}{100 + x} = \frac{1}[3}$

3(20 + x) = 100 + x

60 + 3x = 100 + x

x = 20.

Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:

$\frac{80 + x}{120 + x} = \frac{3}{4}$

4(80 + x) = 3(120 + x)

320 + 4x = 360 + 3x

x = 40

40 ml of water have to be added to make the ratio of oil to water of 1:3.

More can be learned about proportions at brainly.com/question/24372153

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