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Old 10-03-2008, 09:28 AM
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Unhappy concentration problem

Freezing weather is coming!
The radiator in my 450 John Deere track loader
is full with 18 quarts of fluid that is 15% antifreeze.
Question: How much must I drain out into a disposable container,
Then retighten drain plug, and pour back 100% pure
antifreeze into radiator to make 18 quarts of 40%
antifreeze.
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Old 10-03-2008, 10:04 AM
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Let x=amount to be drained.

Original mixture less amount drained: (18-x)

Amount of pure antifreeze=.15(18-x)

plus

pure antifreeze is x quarts.

The new mixture is 40%= .4(18)=7.2

So, we have the equation to solve:

.15(18-x)+x=7.2
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Old 10-03-2008, 10:37 AM
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i think i get it... so would the answer be -5.3 qts... that doesnt make sense
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Old 10-03-2008, 10:52 AM
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Quote:
Originally Posted by Amelia View Post
i think i get it... so would the answer be -5.3 qts... that doesnt make sense
Check again. I get +5.29
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Old 10-03-2008, 11:00 AM
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is there ne way i could help on one more problem... it has to do with quarters, nickles, and dimes for some reason i cant get it:

I have a collection of nickels, dimes, and quarters
in a money bag worth $7.95. If the number of
quarters is one more than the number of nickels
and the number of dimes is five more than the number
of nickels, find the number of each type of coin.
# Nickels ________
# Dimes_________¬
# Quarters________
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Old 10-03-2008, 11:05 AM
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Quote:
Originally Posted by Amelia View Post
is there ne way i could help on one more problem... it has to do with quarters, nickles, and dimes for some reason i cant get it:

I have a collection of nickels, dimes, and quarters
in a money bag worth $7.95. If the number of
quarters is one more than the number of nickels
and the number of dimes is five more than the number
of nickels, find the number of each type of coin.
# Nickels ________
# Dimes_________¬
# Quarters________
In future, please make a new thread for each new question.

Okay we have 3 different types of coins.

So:

x + y + z = 7,95

Nickels = x
Quarters = y = x + 1
Dimes = z = x + 5

So you'll just need to substitute the values of these coins. And solve.

a(x) + b(x + 1) + c(x + 5) = 7,95

Where a;b;c are the monetary values of nickels, dimes, and quarters (not respectively!). I don't know the American system.
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Old 10-03-2008, 11:28 AM
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would that make x 8.4 ? im confused a little: in america dime=.10 nickels=.5 and quarters=.25

i'm confused
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Old 10-03-2008, 11:36 AM
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Quote:
Originally Posted by Amelia View Post
would that make x 8.4 ? im confused a little: in america dime=.10 nickels=.5 and quarters=.25

i'm confused
Can you double check the question?
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Old 10-03-2008, 11:44 AM
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yea :
I have a collection of nickels, dimes, and quarters
in a money bag worth $7.95. If the number of
quarters is one more than the number of nickels
and the number of dimes is five more than the number
of nickels, find the number of each type of coin.
# Nickels ________
# Dimes_________¬
# Quarters________

nickels are worth .5
dimes are worth .10
quarters are worth .25
a dollare is 1.00
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Old 10-03-2008, 11:47 AM
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Quote:
Originally Posted by Amelia View Post
yea :
I have a collection of nickels, dimes, and quarters
in a money bag worth $7.95. If the number of
quarters is one more than the number of nickels
and the number of dimes is five more than the number
of nickels, find the number of each type of coin.
# Nickels ________
# Dimes_________¬
# Quarters________

nickels are worth .5
dimes are worth .10
quarters are worth .25
a dollare is 1.00
Either the question has a fault, or I made a very stupid mistake in my calculations. The latter being very likely.

You have the idea though, that should carry you through.
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