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# Elimination System of Equations Challenge Problem

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It's a story problem so be courteous:

A zookeeper needs to mix a solution for baby penguins so it has the right amount of medicine. Solution A has 20% medicine. Solution B has 4% medicine. How many ounces of each solution are needed to obtain 10 ounces OF 8% medicine?

Good Luck :)

OwenT154  Jan 10, 2018

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Amount of solution A  =   x

B =   10 - x

x (.2) + (10-x)(.04) = 10 (.08)

.2x + .4 -.04x = .8

.16x = .4

x = 2.5 oz = amount of A     (10-2.5) = B = 7.5 oz

ElectricPavlov  Jan 10, 2018
Sort:

#1
+12119
+3

Amount of solution A  =   x

B =   10 - x

x (.2) + (10-x)(.04) = 10 (.08)

.2x + .4 -.04x = .8

.16x = .4

x = 2.5 oz = amount of A     (10-2.5) = B = 7.5 oz

ElectricPavlov  Jan 10, 2018

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