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 20% pure horseradish and another that
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Question 1091622: 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 20% pure horseradish and another that is 70% 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(52800) (Show Source):
Let x = # teaspoons of the 20% HR;
y = # teaspoons of the 70% HR.
Then the system of equations is
x + y = 4, (1) (total volume, in teaspoons)
0.2x + 0.70y = 0.55*4 (2) (the pure HR contents)
Multiply the second eqn by 100 to get
x + y = 4, (1')
20x + 70y = 220 (2')
Express x = 4 - y from (1), and then substitute into (2'). You will get
20*(4-y) + 70y = 220.
80 - 20y + 70y = 220, ====> 50y = 220 - 80 = 140 ====> y = = .
Answer. teaspoons of the 70% HR and teaspoons of the 20% HR.
