One canned juice drink is 20% orange just another is 5% or how many lit letters of each should be mixed together in order to get 15L that is 14% orange juice

Question

One canned juice drink is 20% orange just another is 5% or how many lit letters of each should be mixed together in order to get 15L that is 14% orange juice

Answer 1

Let x = the number of liters in 20%

Let y = the number of liters in 5%

 

 

Set equations based on the problem description.

 

x + y = 15   ---->  total liters

 

0.20x + 0.05y = 0.14 * 15  --->   total liters by percentage

 

 

We have two equations to work with.

 

x + y = 15                          eq1

0.20x + 0.05y = 2.1            eq2

 

 

Substitute eq1 into eq2.  Get eq2 in terms of x.

 

0.20x + 0.05(15 - x) = 2.1

 

 

Solve for x from this equation.

 

0.20x + 0.75 - 0.05x = 2.1

 

0.15x + 0.75 = 2.1

 

0.15x = 1.35

 

       x = 9

 

 

There are 9 liters in 20% juice.  Then there are 6 liters in 5% juice.