SOLUTION: a 10-gallon container of fruit punch is 20% water. How many gallons of a punch that is 8% water must be added to make a punch that is 12% water? this is the equation that i had

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Question 133036: a 10-gallon container of fruit punch is 20% water. How many gallons of a punch that is 8% water must be added to make a punch that is 12% water?
this is the equation that i had but i could not complete it
(20%*10gal)+(8%*Xgal)=12%(_______)gal
i would appreciate it if you could help me thanks

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the gallons of punch that is 8% water.
.2*10=2
.08*x=.08x
.12*(10+x)=1.2+.12x
.
1.2+.12x=2+.08x
.12x-.08x=2-1.2
.04x=.8
x=20 gallons.
.
Check:
.2*10 + .08*20
2+1.6=3.6
.12*(10+20)=3.6
.
Ed