Answer:
(3)
Replcaing equation (3) into equation (2) we got:
![0.75(6.4 -0.2 Y) +0.95 Y = 18.4](https://tex.z-dn.net/?f=%200.75%286.4%20-0.2%20Y%29%20%2B0.95%20Y%20%3D%2018.4)
And solving for Y we got:
![4.8 -0.15 Y +0.95 Y = 18.4](https://tex.z-dn.net/?f=%204.8%20-0.15%20Y%20%2B0.95%20Y%20%3D%2018.4)
![0.8 Y = 13.6](https://tex.z-dn.net/?f=0.8%20Y%20%3D%2013.6)
![Y = 17](https://tex.z-dn.net/?f=%20Y%20%3D%2017)
And solving for X from equation (3) we got:
![X= 6.4 -0.2*17 = 3](https://tex.z-dn.net/?f=%20X%3D%206.4%20-0.2%2A17%20%3D%203)
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Step-by-step explanation:
For this problem we can work with the concentration of water and orange juice.
Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content
Using the concentration of orange juice we have:
(1)
And for the water we have:
(2)
If we solve for X from equation (1) we got:
(3)
Replcaing equation (3) into equation (2) we got:
![0.75(6.4 -0.2 Y) +0.95 Y = 18.4](https://tex.z-dn.net/?f=%200.75%286.4%20-0.2%20Y%29%20%2B0.95%20Y%20%3D%2018.4)
And solving for Y we got:
![4.8 -0.15 Y +0.95 Y = 18.4](https://tex.z-dn.net/?f=%204.8%20-0.15%20Y%20%2B0.95%20Y%20%3D%2018.4)
![0.8 Y = 13.6](https://tex.z-dn.net/?f=0.8%20Y%20%3D%2013.6)
![Y = 17](https://tex.z-dn.net/?f=%20Y%20%3D%2017)
And solving for X from equation (3) we got:
![X= 6.4 -0.2*17 = 3](https://tex.z-dn.net/?f=%20X%3D%206.4%20-0.2%2A17%20%3D%203)
So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration