Blue and yellow paint are mixed in the ratio 2:5 to make a new colour. 6 litres more of Yellow and Blue is taken. how many litres of each is mixed
Follow the same steps I just showed you in your previous problem.
Please give answer
Pls give me answer
To determine the number of liters of each color that is mixed, let's start by finding the ratio of blue to yellow paint in the new mixture.
Given that the ratio of blue to yellow paint is 2:5, this means that for every 2 liters of blue paint, there are 5 liters of yellow paint.
Let's assume that we mix x liters of blue paint and y liters of yellow paint.
According to the ratio, we can set up the following equation:
2/5 = x/y
Next, we are instructed to add 6 liters of both blue and yellow paint to the mixture.
Therefore, the new equation becomes:
2/5 = (x + 6) / (y + 6)
To solve for the unknown values, we need to isolate the variables x and y in their respective equations.
Multiplying both sides of the first equation by 5y, we get:
2y = 5x
Similarly, multiplying both sides of the second equation by 5(y + 6), we get:
2(y + 6) = 5(x + 6)
2y + 12 = 5x + 30
2y - 5x = 18
Since we have two equations and two unknowns, we can solve this system of equations.
Using equation 1:
2y = 5x
Rearranging equation 2, we get:
5x - 2y = -18
Now, we can solve the system of equations by substitution or elimination.
Using the elimination method, let's multiply equation 1 by 5 and equation 2 by 2 to get rid of the coefficients:
10y = 25x
10x - 4y = -36
Eliminating the y terms, we subtract equation 1 from equation 2:
(10x - 4y) - (10x - 25x) = -36 - 0
-4y + 15x = -36
Now, divide both sides of the equation by -4:
-4y + 15x = -36
(-4y + 15x) / -4 = -36 / -4
y - (15/4)x = 9
We have simplified the equation to y - (15/4)x = 9.
To find the specific values for x and y, we would need more information or another equation. Without an additional piece of information, we cannot calculate the exact number of liters for each color that is mixed.