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Suppose you like 1% milk, but you only have 3% whole milk

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Suppose you like 1% milk, but you only have 3% whole milk [#permalink] New post 23 Dec 2007, 16:32
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?
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Re: mixture - milk [#permalink] New post 23 Dec 2007, 16:53
bmwhype2 wrote:
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?


Take x ounce of whole and 8-x ounce of 1/2 %

Then the equation is:
[ x*0.03 + (8-x)*0.005 ]/8 = 0.01

1.6 ounce of whole milk
6.4 of the other
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 [#permalink] New post 23 Dec 2007, 19:00
Parsifal,

Your approach is helpful, but could you tell me why the first side of equation must be devided by 8?

Thanks,
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 [#permalink] New post 23 Dec 2007, 19:04
sondenso wrote:
Parsifal,

Your approach is helpful, but could you tell me why the first side of equation must be devided by 8?

Thanks,


without division by 8, you get the quantity of fat; however for percentage, you need division by total quantity of milk
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Re: mixture - milk [#permalink] New post 23 Dec 2007, 19:05
parsifal wrote:
bmwhype2 wrote:
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?


Take x ounce of whole and 8-x ounce of 1/2 %

Then the equation is:
[ x*0.03 + (8-x)*0.005 ]/8 = 0.01

1.6 ounce of whole milk
6.4 of the other


same approach, same answer
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Re: mixture - milk [#permalink] New post 23 Dec 2007, 22:05
bmwhype2 wrote:
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?


3% (WM) + 0.5% (LFM) = 1% (8 OZM)
3% (WM) + 0.5% (8 - WM) = 1% (8 OZM)
WM = (8% - 4%) / 2.5%
WM = 1.6 oz
LFM = 6.4 oz
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Re: mixture - milk [#permalink] New post 24 Dec 2007, 06:02
bmwhype2 wrote:
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?


Whole Milk which we mix: X ounce

Low Fat milk which we mix: Y ounce

x+y = 8

(3/100)*x + (1/200)*y = (1/100)*8

6*x + y = 16

x + y = 8

x = 8/5 ounce

y = 32/5 ounce
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Re: mixture - milk [#permalink] New post 02 Jan 2008, 06:07
parsifal wrote:
bmwhype2 wrote:
Suppose you like 1% milk, but you only have 3% whole milk and ½% low fat milk. How much of each should you mix together to make an 8 ounce cup of 1% milk?


Take x ounce of whole and 8-x ounce of 1/2 %

Then the equation is:
[ x*0.03 + (8-x)*0.005 ]/8 = 0.01

1.6 ounce of whole milk
6.4 of the other

very nice.

i did it slightly differently.

6x+ 1*(8-x) = 2*8
6x+8-x=16
5x=8
x=8/5
8-x = 8 - 8/5 = 40/5 - 8/5 = 32/5

OA is 8/5 and 32/5
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Re: mixture - milk   [#permalink] 02 Jan 2008, 06:07
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Suppose you like 1% milk, but you only have 3% whole milk

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