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?

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

Step-by-step 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 =

x = 0.125 gallons

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

2 5/8 is the final answer! : )

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