SOLUTION: Sally has a recipe that calls for horseradish sauce that is 55% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that
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-> SOLUTION: Sally has a recipe that calls for horseradish sauce that is 55% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that
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Question 1092927: Sally has a recipe that calls for horseradish sauce that is 55% pure horseradish. at the grocery store she finds one horseradish sauce that is 10% pure horseradish and another that is 60% pure horseradish. how many teaspoons of each horseradish sauces should sally mix together to get 4 teaspoons of horseradish sauce that is 55% pure horseradish? Answer by ikleyn(52788) (Show Source):
Let x = # teaspoons of the 10% HR;
y = # teaspoons of the 60% HR.
Then the system of equations is
x + y = 4, (1) (total volume, in teaspoons)
0.1x + 0.60y = 0.55*4 (2) (the pure HR contents)
Multiply the second eqn by 100 to get
x + y = 4, (1')
10x + 60y = 220 (2')
Express x = 4 - y from (1), and then substitute into (2'). You will get
10*(4-y) + 60y = 220.
40 - 10y + 60y = 220, ====> 50y = 220 - 40 = 180 ====> y = = .
Answer. teaspoons of the 60% HR and teaspoons of the 10% HR.
