The royal fruit company produces two types of fruit drinks. the first type is 20% pure fruit juice and the second type is 45% pure fruit juice. the company is attempting to produce a fruit drink that contains 40% pure fruit juice. how many pints of each of the two existing types of drink must be used to make 30 pints of a mixture that is 40% pure fruit juice?

6 pints of 20% pure fruit juice and 24 pints of 45 % pure fruit juice is mixed to get 30 pints of mixture of 40 % pure fruit juice

Solution:

The final volume is 30 pints of mixture of 40 % pure fruit juice

Let "x" be the volume of 20 % pure fruit juice

Then, (30 - x) is the volume of 45 % pure fruit juice

Then, we can say,

"x" be the volume of 20 % pure fruit juice and (30 - x) is the volume of 45 % pure fruit juice is mixed to get 30 pints of mixture of 40 % pure fruit juice

Therefore, we frame a equation as:

Solve the above expression for "x"

So, 6 pints of 20% pure fruit juice

Then, (30 - x) = 30 - 6 = 24

24 pints of 45 % pure fruit juice is used

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w