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Eduardo wants to make 17.1 fl. oz. of a 60% sugar solution by mixing together a 80% sugar solution and a 50% sugar solution. How much of each solution must he use?

Answer 1

Cameron Andrews

#5.7 fl. oz. of 80% sugar solution#
#11.4fl. oz. of 50% sugar solution#

It is possible to solve this using algebraic computation:

Let #x# the volume of #80% sugar solution#

Let #17.1-x# the volume of #50% sugar solution#

Sixty percent of the 17.1 fl.oz sugar solution is the desired mixture.

Write down the algebraic equation as: #0.80(x) + 0.50(17.1-x)(0.50) = 0.60(17.1)#

Do the algebraic calculation to find the value of #x#

#x=5.7# for #80% sugar solution#

Therefore, to find the other volume; subtract #x=5.7# from #17.1-x#; to get #11.4 fl. oz. 50% sugar solution#.

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Answer 2

Cooper Adams

Eduardo needs to use 8.5 fl. oz. of the 80% sugar solution and 8.6 fl. oz. of the 50% sugar solution.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.