Question

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution.

How much of the 35% acid solution should Eli add?

Answer 1

Hey there!

x= # of gallons of the 35% acid solution

Equation- 0.5 gal (0.1) + x gal (0.35) = (0.5 + x)(0.15)
x= .125 gallons

Hope this helps!

Answer 2

).125 gallons of 35% acid solution will be added.

Explanation:

Let Eli should add x gallons of 35% acid solution to 0.5 gallon of 10% acid solution.

Final solution will be (0.5 + x) gallons of 15% acid solution.

Now the equation will be

(0.35)(x) + (0.10)(0.5) = (0.15)(x + 0.5)

Now we will divide this equation by 0.10

3.5x + 0.5 = 1.5(x + 0.5)

3.5x + 0.5 = 1.5x + 0.75

Now we will collect similar terms in one side of the equation

3.5x - 1.5x = 0.75 - 0.5

2x = 0.25

x =
`(0.25)/(2)`

x = 0.125 gallons

Therefore, 0.125 gallons of 35% acid solution will be added.