Word Problems

lost46

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Jan 27, 2009
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How many gallons of 50% chlorine (to the nearest thousandth) must be added to 20,000 gal of swimming pool water to obtain a 4/100% solution of chlorine?

Here is what I have is it correct?: 0.50x =0.04(x+20,000)
0.50x=.04x+800
0.46x=800
x=1739.13
 
How many gallons of 50% chlorine (to the nearest thousandth) must be added to 20,000 gal of swimming pool water to obtain a 4/100% solution of chlorine?

Here is what I have is it correct?: 0.50x =0.04(x+20,000)
0.50x=.04x+800
0.46x=800
x=1739.13

Your approach looks good.

You can plug your x value back into the equation you started with to check it. You'll find that it works.

However, I have a question: Do you want the chlorine concentration to be .04 (4%), or do you want it to be .0004 (4/100 %)?
 
wjm11 said:
How many gallons of 50% chlorine (to the nearest thousandth) must be added to 20,000 gal of swimming pool water to obtain a 4/100% solution of chlorine?

Here is what I have is it correct?: 0.50x =0.04(x+20,000)
0.50x=.04x+800
0.46x=800
x=1739.13

Your approach looks good.

You can plug your x value back into the equation you started with to check it. You'll find that it works.

However, I have a question: Do you want the chlorine concentration to be .04 (4%), or do you want it to be .0004 (4/100 %)?/ It was .0004. I had the answer in my book as 16.013gal but did not understand.
 
lost46 said:
How many gallons of 50% chlorine (to the nearest thousandth) must be added to 20,000 gal of swimming pool water to obtain a 4/100% solution of chlorine?

Here is what I have is it correct?: 0.50x =0.0004(x+20,000)

.5x = 0.0004x + 8

x = 8/0.4996 = ~ 16 gallons


0.50x=.04x+800
0.46x=1739.13
 
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