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to make a certain colour of household paint, you need to mix ¾ l of white paint with 15 ml of red paint and 10 ml of yellow paint. Express the paint mixture as a ratio. if you need a total volume of 31 litres of this paint, how much of each colour must you mix? ​

Sagot :

Answer:

0.75 : 0.015 : 0.01

white paint =  30 ml

red paint = 0.6 ml

yellow paint = 0.4 ml

Step-by-step explanation:

As we have been given quantities of paint in both liters and ml, we need to convert them to make them the same measure.

(convert ml to liters, since the next part of the question is in liters)

1000 ml = 1 liter

Therefore, to convert ml to liters we need to divide the ml by 1000.

15 ml = 15 ÷ 1000 = 0.015 l

10 ml = 10 ÷ 1000 = 0.01 l

3/4 of a liter = 0.75 l

So the ratio of white paint to red paint to yellow paint = 0.75 : 0.015 : 0.01

To calculate how much of each color we must mix to make a total of 31 liters of paint:

Add the ratios:  0.75 + 0.015 + 0.01 = 0.775

Divide the total by the sum of ratios:  31 ÷ 0.775 = 40

Therefore, multiply each ratio by 40:

white paint = 0.75 x 40 = 30 ml

red paint = 0.015 x 40 = 0.6 ml

yellow paint = 0.01 x 40 = 0.4 ml