A 5-gallon mixture contains 40% acid. A 3-gallon mixture contains 50% acid. What percent acid is obtained by putting the two mixtures together?

(5/8)40 + (3/8)50 = 25 + 18.75 = 43.75%

Answered by Anonymous | 2024-06-10

The question involves calculating the percentage of acid in a mixture obtained by combining a 5-gallon mixture with 40% acid and a 3-gallon mixture with 50% acid. First, determine the amount of acid in each mixture before combining: for the 5-gallon mixture, it's 5 gallons * 40% = 2 gallons of acid; for the 3-gallon mixture, it's 3 gallons * 50% = 1.5 gallons of acid. Together, the mixtures total 8 gallons (5+3) with 3.5 gallons (2+1.5) of acid. The percentage of acid in the combined 8-gallon mixture is calculated as (3.5 gallons / 8 gallons) * 100% = 43.75%.

Answered by TimothyJamesCurry | 2024-06-24

The combined mixtures have a total volume of 8 gallons with 3.5 gallons of acid, resulting in a new acid concentration of 43.75%.
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Answered by Anonymous | 2024-12-16