Question 87287: A researcher orders a broth of 8.5% glucose for her lab. However, she needs a stronger broth, one that is 25.9% glucose. Fortunately, she has 26.9 liters of 35.1% glucose broth in the stock room. How much 24.9% glucose broth can she make?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! A researcher orders a broth of 8.5% glucose for her lab. However, she needs a stronger broth, one that is 25.9% glucose. Fortunately, she has 26.9 liters of 35.1% glucose broth in the stock room. How much 24.9% glucose broth can she make?
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You write the resulting amt as 25.9% then you write it as 24.9%, I am assuming
that 25.9% is the correct one
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Let x = amt (liters) of 8.5% broth required
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The total resulting amt = (x+26.9) liters
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Put all percents into decimal form
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.351(26.9) + .085x = .259(x+26.9)
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9.4419 + .085x = .259x + 6.9671
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9.4419 - 6.9671 = .259x - .085x
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2.4748 = .174x
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x = 2.4748/.174
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x = 14.223 liters of 8.5% stuff
Therefore:
14.223 + 26.9 = 41.123 liters of 25.9% can be made
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Check solution;
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.351(26.9) + .085(14.223) = .259(41.123)
9.4419 + 1.209 = 10.65
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Did this help? If I assumed the wrong percentage, you can use this method, just change 25.9% to 24.9%
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