A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions. How much of each solution should be used if 24 gallons of 5% solution are needed?

You need Incorrect gallons of 6% solution and Incorrect gallons of 2% solution.

Question

Mathematics

Emery Conrad

10 July, 06:31

A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions. How much of each solution should be used if 24 gallons of 5% solution are needed?

You need Incorrect gallons of 6% solution and Incorrect gallons of 2% solution.

+5

Answers (1)

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Libby Rodriguez · Answer 1

18, 6

Step-by-step explanation:

Let's say x is the volume of 6% solution, and y is the volume of 2% solution.

0.06 x + 0.02 y = 0.05 (24)

x + y = 24

Solve the system of equations using either elimination or substitution. I'll use substitution:

y = 24 - x

0.06 x + 0.02 (24 - x) = 0.05 (24)

0.06 x + 0.48 - 0.02 x = 1.2

0.04 x = 0.72

x = 18

y = 6

You need 18 gallons of 6% solution and 6 gallons of 2% solution.

A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions. How much of each solution should be used if 24 gallons of 5% solution are needed?You need Incorrect gallons of 6% solution and Incorrect gallons of 2% solution.

A mixture of 5% disinfectant solution is to be made from 6% and 2% disinfectant solutions. How much of each solution should be used if 24 gallons of 5% solution are needed?

You need Incorrect gallons of 6% solution and Incorrect gallons of 2% solution.