SOLUTION: This is actually a word problem! To create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another

Algebra ->  Equations -> SOLUTION: This is actually a word problem! To create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another       Log On


   

Question 180239: This is actually a word problem!
To create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
This is actually a word problem!
To create a breakfast beverage, cherry juice in two concentrations, 19% and 60%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 70 gallons of 19% juice is used, how many gallons of the 60% juice must be used to obtain a 50% cherry juice solution?
:
.19(70)+.6(x)=.5(70+x)
:
13.3+.6x=35+.5x
:
.1x=21.7
:
highlight%28x=217%29gallons of 60% cherry juice