SOLUTION: Need help with setting up a mixture problem. How many gallons of a 15% salt solution msut be mixed with four gallons of 20% salt solution in order to make a 17% salt solution?

Question 132710: Need help with setting up a mixture problem.
How many gallons of a 15% salt solution msut be mixed with four gallons of 20% salt solution in order to make a 17% salt solution?
please and thank you
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many gallons of a 15% salt solution msut be mixed with four gallons of 20% salt solution in order to make a 17% salt solution?
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15% solution DATA:
Amount = x gallons ; Amt. of salt = 0.15x
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20% solution DATA:
Amount = 4 gallons ; Amt of salt = 0.20*4 = 0.8
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17% solution DATA:
Amt. = x+4 gallons ; Amt of salt = 0.17(x+4)=0.17x+0.68
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EQUATION:
salt + salt = salt
0.15x + 0.8 = 0.17x+0.68
0.02x = 0.12
x = 6 (# of gallons of 15% solution that must be added)
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Cheers,
Stan H.
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