System of Equations

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Alicia is helping her chemistry teacher prepare for lab. The chemistry stockroom has a jar labeled 25% hydrochloric acid and another labeled 40% hydrochloric acid. If 90ml of 30$ solution are needed for today's lab experiment, how much of each should mix together?

Sep 8th, 2015

Thank you for the opportunity to help you with your question!

let x be amount of 25% HCL required

let Y be amount of 40% HCL acid required

X+Y = 90

X= 90-Y

0.25X+ 0.4Y = 0.3*90

0.25 (90-Y) +0.4Y = 27

22.5 -0.25Y +0.4Y =27

0.4Y-0.25Y=27-22.5

0.15Y = 4.4

Y=4.5/0.15

Y= 30ML

X= 90-30 = 60 ML

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 8th, 2015

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