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This is pain need help and to be explained

This is pain need help and to be explained-example-1
User Skroczek
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1 Answer

18 votes
18 votes

Answer:

Equation is 0.5 gal × (0.1) + x gal × (0.35) = (0.5 + x) × (0.15)

0.125 gallons of the 35% acid solution Eli should add.

Explanation:

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

To find: Equation can you use to determine how many gallons of the 35% acid solution Eli should add?

Solution:

Let x be the gallons of the 35% acid solution.

According to question,

For 0.5 gallon of a 10% acid solution = 0.5×0.1

For x gallon of a 35% acid solution = x×0.35

For (0.5+x) gallon of a 15% acid solution = 0.5 + x × 0.15

The equation form is

0.5 gal × (0.1) + x gal × (0.35) = (0.5+x) × (0.15)

Solving the above equation,

0.05 + 0.35x = 0.075 + 0.15x

0.2x = 0.025

x = 0.025/0.2

x= 0.125

Therefore, 0.125 gallons of the 35% acid solution Eli should add.

Therefore, 0.125 gallons of the 35% acid solution Eli should add.The equation is 0.5 gal × (0.1) + x gal × (0.35) = (0.5 + x) × (0.15)

User Nearlymonolith
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