The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 60% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 140 pints of a mixture that is 55% pure fruit juice?
Note that the ALEKS graphing calculator can be used to make computations easier.
Firstfruitdrink: pints Secondfruitdrink: pints

28 pints, 112 pints

Step-by-step explanation:

GIVEN: The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type is pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice.

TO FIND: How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice.

SOLUTION:

Let the quantity of first type of juice be

Quantity of second type of juice

Concentration of pure juice in final mixture

Now,

The concentration of pure juice in final mixture is sum of concentrations of pure juice in first and second type of juice

Quantity of first type of juice

Quantity of second type of juice

Hence quantity of first and second type of juice is 28 pints and 112 pints respectively.

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a