Sally finkelstein has a recipe that calls for horseradish sauce that is 60% pure horseradish. at the grocery store she finds one horseradish sauce that is 20% pure horseradish and another that is 70% pure horseradish. how many teaspoons of each of these horseradish sauces should sally mix together to get 4 teaspoons of horseradish sauce that is 60% pure horseradish?

0.8 spoons of 20% pure horseradish and 3.2 spoons of 70 % pure horse radish is mixed to get 4 table spoons of 60 % pure horse radish

Solution:

Each of these horseradish sauces should Sally mix together to get 4 teaspoons of horseradish sauce that is 60% pure horseradish

Let x be the number of spoons of 20 % pure horse radish

Then (4 - x)  be the number of spoons of 70 % pure horse radish

Therefore,

x spoons of 20% pure horseradish and (4 - x) spoons of 70 % pure horse radish is mixed to get 4 table spoons of 60 % pure horse radish

Therefore, we can frame a equation as:

20 % of x + 70 % of (4-x) = 60 % of 4

Thus 0.8 spoons of 20 % pure horse radish is used

Then, 4 - x = 4 - 0.8 = 3.2

Thus 3.2 spoons of 70 % pure horse radish is used

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