One canned juice drink is 20% orange juice, another is 5%. how many liters of each to get 15 liters of 9%

Question

One canned juice drink is 20% orange juice, another is 5%. how many liters of each to get 15 liters of 9%

Answer 1

j represents the amount of 5%

15 - j represents the amount of 20%

0.05j + 0.20(15 - j) = 0.09(15)

 

Can you solve for j and answer?

Answer 2

We need a system of linear equations. One equation is:

 

x + y = 15, if we let x = the amount of 20% orange juice and y = the amount of 5% orange juice

 

The other equation is:

 

.20x + .05y = .09(15)

 

Multiplying both sides of the equation by 100 to clear the decimals yields:

 

20x + 5y = 9(15) = 135

 

We can solve this system by either the Elimination or the Substitution Method. I would choose the Substitution Method.

 

Solve the first equation for y to obtain:

 

y = 15 - x

 

Now replace every instance of y in the second equation with (15 - x)

 

20x + 5(15 - x) = 135

 

You should now be able to solve this linear equation for x, John. Once you find x, you can easily determine the value for y.