Hal is mixing bug spray for his roses. He has one gallon with a mixture of 90% water and 10% chemical. However, he needs a mixture that is 96.5% water. How much water should be added to the mixture to make it 96.5% water?

Question

Mathematics

Dale Ballard

12 June, 10:42

Hal is mixing bug spray for his roses. He has one gallon with a mixture of 90% water and 10% chemical. However, he needs a mixture that is 96.5% water. How much water should be added to the mixture to make it 96.5% water?

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Answers (1)

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Jamison Eaton · Answer 1

Overall material and component balances are important concepts to be able to answer the question above. Let x be the amount of water in gallons that should be added to his available mixture. From both balances, the equation below is obtained.

(1) (0.90) + (x) (1) = (1 + x) (0.965)

The equation above shows the balance for water. Solving for x gives an answer of x = 1.857.

Therefore, Hal should add approximately 1.857 gallons of pure water.