Solution y is 40 percent sugar by volume, and solution x is 20 percent sugar by volume. how many gallons of solution x must be added to 150 gallons of solution y to create a solution that is 25 percent sugar by volume?
a) 37.5
(b) 75
(c) 150
(d) 240
(e) 450

   (E)  450

Step-by-step explanation:

Let x represent the number of gallons of solution X that must be added to the mix. Then the amount of sugar in the mix is ...

  0.20x +0.40·150 = 0.25(150 +x)

  0.20x +60 = 37.5 +0.25x . . . eliminate parentheses

  22.5 + 0.20x = 0.25x . . . . . . subtract 37.5

  22.5 = 0.05x . . . . . . . . . . . . . subtract 0.20x

  450 = x . . . . . . . . . . . . . . . . . . multiply by 20

450 gallons of solution X must be added to make a 25% sugar solution.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

answer: y=0 if that is what u r looking for