The Royal Fruit Company produces two types of fruit drinks. The first type 20% is pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 160 pure fruit juice. 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?

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)