Respuesta :
Hector needs 64 liters of 25% and 96 liters of 50% sulfuric acid as per linear equation.
What is a linear equation?
A linear equation is a equation that has a variable or variables with highest degree of 1.
Given, the total amount of solution is 160 liters.
Total solution should have 40% sulfuric acid.
Hector has 25% and 50% sulfuric acid solutions respectively.
Let, he took x and (160 - x) liters of each solution respectively.
Therefore, x × 0.25 + (160 - x) × 0.5 = 160 × 0.4
⇒ 0.25x + 80 - 0.5x = 64
⇒ 0.25x = 16
⇒ x = 64
Therefore, he needs 64 liters and (160 - 64) liters = 96 liters of solutions with given percentage of sulfuric acid respectively.
Learn more about linear equation here: https://brainly.com/question/13967548
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