Answer:
An additional amount of blue is: 44 liters
Step-by-step explanation:
We can solve this problem in the two steps:
First we will make proportion
w : b = 2 : 3 => w = 2 c and b = 3 c where c is coefficient of proportion
We know that we have a total of 20 l of paint, which mean>
w + b = 20 => 2 c + 3 c = 20 => 5 c = 20 => c = 20/5 = 4 => c = 4
w = 2 c = 2 · 4 = 8 liters
b = 3 · 4 = 12 liters
Now we will make second proportion:
w : (b + x) = 8 : (12 + x) = 1 : 7
When we multiply external and internal members we get:
12 + x = 8 · 7 => 12 + x = 56 => x = 56 - 12 = 44 liters
x = 44 liters
God with you!!!
