Green Paint and white paint are to be mixed in the ratio 2:3.

a) how many litres of green paint are required to be mixed with 24 L of white?
b) how many litres of white paint are required to be mixed with 14 L of green?
c) how many litres of each colour are required to make a 30 L mixture and maintain the 2:3 ratio?

4 answers

2:3 = 16:24 = 14:21 = 12:18

Thanks :D

33 white 10 green

To solve these type of mixture problems, you need to use the concept of ratios and proportions.

Let's start with the given ratio: 2:3 (green: white).

a) To find out how many liters of green paint are required to mix with 24 liters of white paint, we can set up a proportion:

Green : White = 2 : 3

Let x represent the amount of green paint needed.
So, we can write the proportion as:

2/3 = x/24

Now, we can solve for x by cross-multiplying and then simplifying:

2 * 24 = 3 * x
48 = 3x

Dividing both sides by 3, we find:

x = 16

Therefore, 16 liters of green paint are required to be mixed with 24 liters of white paint.

b) To find out how many liters of white paint are required to mix with 14 liters of green paint, we can set up a proportion:

Green : White = 2 : 3

Let y represent the amount of white paint needed.
So, we can write the proportion as:

2/3 = 14/y

Now, we can solve for y by cross-multiplying and then simplifying:

2 * y = 3 * 14
2y = 42

Dividing both sides by 2, we find:

y = 21

Therefore, 21 liters of white paint are required to be mixed with 14 liters of green paint.

c) To find out how many liters of each color are required to make a 30 liter mixture while maintaining the 2:3 ratio, we need to divide 30 liters into the ratio of 2:3.

The total ratio is 2 + 3 = 5.

To find the amount of green paint needed, we can calculate:

Green paint = (2/5) * 30

Simplifying this:

Green paint = 12 liters

To find the amount of white paint needed, we can calculate:

White paint = (3/5) * 30

Simplifying this:

White paint = 18 liters

Therefore, to make a 30 liter mixture while maintaining the 2:3 ratio, you would need 12 liters of green paint and 18 liters of white paint.