one canned juice drink is 25% orange juice; another is 5% orange juice. ow many liters of each should be mixed together in order to get 20L that is 14% orange juice?

didn't we just do one of these with different numbers? Follow the same steps.

To find out how many liters of each orange juice drink should be mixed together, we can set up a system of linear equations based on the information given.

Let's assume x liters of the canned juice drink with 25% orange juice, and y liters of the canned juice drink with 5% orange juice.

Since the total volume of the mixture is 20L, we have the equation:
x + y = 20 (Equation 1)

We also know that the desired orange juice concentration in the mixture is 14%. This gives us another equation:
(25% of x) + (5% of y) = 14% of 20 (Equation 2)

To solve the system of equations, we can use substitution or elimination method. Let's solve it using the elimination method.

First, let's convert the percentages into decimals:
25% = 0.25
5% = 0.05
14% = 0.14

Now, we can rewrite Equation 2:
0.25x + 0.05y = 0.14 * 20
0.25x + 0.05y = 2.8 (Equation 3)

To eliminate the decimals, we can multiply Equation 3 by 100:
25x + 5y = 280 (Equation 4)

Now, we can solve the system of equations (Equation 1 and Equation 4).
Multiply Equation 1 by 5:
5x + 5y = 100 (Equation 5)

Subtract Equation 5 from Equation 4 to eliminate the y variable:
25x + 5y - (5x + 5y) = 280 - 100
20x = 180

Divide both sides of the equation by 20:
x = 180 / 20
x = 9

Now, substitute the value of x into Equation 1 to find y:
9 + y = 20
y = 20 - 9
y = 11

Therefore, you should mix 9 liters of the canned juice drink with 25% orange juice and 11 liters of the canned juice drink with 5% orange juice to obtain a 20-liter mixture containing 14% orange juice.