Write a system of two equations using x and y to represent the following problem. A chemist is mixing two solutions together.
The chemist wants 100 gallons when complete. He is mixing a 24% solution with a 50% solution to get a 36% solution. How many gallons of each will he use?

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call the amount of 50% solution x and then the amount of 36% solution is 100-x

so
\[.5x+.24(100-x)=.36\times 100=36\]

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