SOLUTION: A solution containing 30% chicken broth is to be mixed with a solution containing 50% chicken broth to make 200L containing 42% chicken broth. How much of each solution should be m

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Question 1041520: A solution containing 30% chicken broth is to be mixed with a solution containing 50% chicken broth to make 200L containing 42% chicken broth. How much of each solution should be mixed?
House blend coffee is 50% Columbian beans and Special blend coffee is 80% Columbian beans. How much of each should be used to produce 100kg of a blend that is 68% Columbian beans?
How many quarts of a 50% sugar solution must be mixed with 8 quarts of water to make a 10% solution?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the amount of 50% broth. Then:
.5n+.3(200-n)=.42(200)
.5n-.3n+60=84
.2n=24
n=120
200-n=80
Let n be 80% Columbian beans. Then:
.8n+.5(100-n)=.68(100)
.8n-.5n+50=68
.3n=18
n=60
100-n=40
50% sugar solution=50% water
10% sugar solution=90% water
pure water=100% water
.5n+1(8)=.9(n+8)
8+.5n=7.2+.9n
.8=.4n
n=2
You need 2 quarts of 50% sugar for your solution. ☺☺☺☺