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?

Question

Mathematics

Paige Chang

7 July, 05:48

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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Answers (1)

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Jaslyn Beck · Answer 1

Ok so the amounts are x and 100-x

0.24x+0.5 (100-x) = 0.36 (100)

solve

0.24x+50-0.5x=36

-0.26x+50=36

mminus 36 both sides

-0.26x=-14

divide both sides by - 0.26

x=53.8462

find other one

100-x=100-53.8462=46.1538

53.8462 gallons of the 24%

46.1538 gallons of the 50%