Eighteen-carat gold contains 18 parts by weight of gold and 6 parts of other metals. (Twenty-four-carat gold is pure.) Fourteen-carat gold contains 14 parts of gold and 10 parts of other metals. How many ounces of fourteen-carat gold need to be mixed with 12 ounces of eighteen-carat gold to make seventeen-carat gold?

cheater

step-by-step explanation:

what’s the question?

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)

using pemdas, (order of operations) you'll see the answer is 24.