Question 215746
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 = {{{21.7/.10}}}
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