SOLUTION: A baker creates a 50 oz. sugar solution that was 34% sugar from a 30% sugar solution and a 40% sugar solution. How many ounces of the 30% and the 40% sugar solution were used?

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Question 114103: A baker creates a 50 oz. sugar solution that was 34% sugar from a 30% sugar solution and a 40% sugar solution. How many ounces of the 30% and the 40% sugar solution were used?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=ounces of 30% sugar soln., 50-x=ounces of 40% sugar soln.
.
.3x+.4(50-x)=.34*50
.3x+20-.4x=17
-.1x+20-20=17-20
-.1x=-3
-.1x/-.1=-3/.1
x=30 oz of 30% sugar soln.
20 oz of 40% sugar soln.
Always check:
30*.3+20*.4=.34*50 true.
.
Ed