SOLUTION: 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 bever

Question 215746: 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?
Found 2 solutions by checkley77, ankor@dixie-net.com:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
.60X+.19*70=.50(70+X)
.60X+13.3=35+.5X
.60X-.50X=35-13.3
.10X=21.7
X=21.7/.1
X=217 GALLONS OF 60% IS USED.
PROOF:
.6*217+.19*70=.5(70+217)
130.2+13.3=.5*287
143.5=143.5
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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?
:
Let x = amt of 60% solution required
:
.19(70) + .60x = .50(x+70)
:
13.3 + 60x = .50x + 35
:
.60x - .50x = 35 - 13.3
:
.10x = 21.7
x =
x = 217 gal of 60% solution required
;
;
Check:
.19(70) + .60(217) = .50(217+70)
13.3 + 130.2 = .50(287)
143.5 = 143.5
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