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How many quarts of 6 percent butterfat milk and 1 percent butterfat milk should be mixed to yield 75 quarts of 4 percent butterfat milk?
Wiki User
∙ 11y ago
If 'X' is the number of quarts of 6 percent butterfat milk and 'Y' is the number of quarts of the 1 percent butterfat milk then:
x + y = 75 quarts
and
(6x + 1y)/75 = 4 (because we want 4 percent per quart)
then solving for the system of equations leads to:
x = 45 quarts (the 6 percent)
and
y = 30 quarts (the 1 percent)
Wiki User
∙ 11y ago
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What is the mixed number for 150 percent?
The mixed number for 150 percent is 11/2
How do you turn a mixed number into percent?
you turn percents into mixed numbers by turning the percent into a fraction then a mixed number
How much of an alloy that is 30 percent copper should be mixed with 600 ounces of an alloy that is 90 percent copper in order to get a alloy that is 60 percent copper?
Since the percentages of copper in the two components to be mixed are symmetric about the desired result, the answer is that the same amounts should be used. 600 ounces of the 30% copper.
How to Rewrite 145 percent as a mixed number?
145 percent (1.45) as a mixed number = 19/20
How do you write 125 percent as a mixed number?
125 percent (1.25) as a mixed number is: 11/4
How many quarts of 5 percent milk and 2 percent milk should be mixed to yield 45 quarts of 3 percent milk?
30 quarts of 2 percent 15 quarts of 5 percent
How many quarts of .5 percent milk plus 4 quarts of 2 percent milk equals 1 percent milk?
This question can be answered through the application a little bit of algebra. Allow me to demonstrate: First, assign variable (essentially letter) values to the amounts of each type of milk. In this case, X represents the quarts of 4% butterfat milk, and Y represents the quarts of 1% butterfat milk. We know that we need 75 quarts of 1% butterfat milk, so no matter how much of each type we mix, they must add up to 75 quarts. Thus... X+Y=75 That's our first equation. To solve this, we're going to need one more. To obtain the objective percentage of butterfat, we must convert all percentages into decimal format. Thus 4%=0.04, 1%=0.01, and 3%=0.03. Now, we know that X has 4% butterfat, thus the butterfat content contributed by X milk is represented by 0.04X And we know that Y milk has 1% butterfat, thus the butterfat content contributed by Y milk is represented by 0.01Y To calculate the percentage of butterfat in the entire mixture, one must divide the sum of the concentrations by the total volume of 75 quarts, meaning that the beginning of our our second equation would look like this: (0.04X+0.01Y)/75 And since we want our objective mixture to have a 3% butterfat concentration, the equation would finish out like this: (0.04X+0.01Y)/75=0.03 Now we have a system of equations. X+Y=75 (0.04X+0.01Y)/75=0.03 There are many ways to solve this, but one of the most visually demonstrable methods is the method of substitution. This means getting one equation in terms of one variable. The best way to do this would be to set the first equation equal to Y. Thus Y=75-X Now, every time that we see Y appear in the second equation, we replace it with (75-X). Like this (0.04X+0.01(75-X))/75=0.03 Now we can solve this equation for X. The following equation demonstrates multiplying the answer by the denominator of the fraction and the distribution of the 1% 0.04X+0.75-0.01X=2.25 Now we combine like terms and subtract 0.75 from the answer to get 0.03X=1.5 All that's left is to divide the answer by 0.03 to know what X equals X=50 This means that we're going to need 50 quarts of 4% butterfat milk. Now, to solve for the 1% butterfat milk. We can simply take the value we found for X and plug it into the modified version of our first equation to get that Y=75-50 or Y=25 This means that we will need 25 quarts of 1% butterfat milk mixed with 50 quarts of 4% butterfat milk to obtain 75 quarts of 3% butterfat milk. This form of algebraic computation can be used to solve any similar problem.
How do you convert 1 percent milk into whole milk using light cream?
Mixing milk with 1% butterfat and light cream having 20% butterfat to get to whole milk with 3.4% butterfat. Mix 874g of 1% milk with 126g of light cream to get 1kg of 3.4% whole milk. The cream will settle on top of the milk (cream is lighter than milk) and will have to be mixed in thoroughly. This calculation can be done using a Pearson Square.
How much of an alloy that is 10 percent copper should be mixed with 400 ounces of an alloy that is 70 percent copper in order to get an alloy that is 20 percent?
How much of an alloy that is 10% copper should be mixed with 400 ounces of an alloy that is 70% copper in order to get an alloy that is 20%
What is the mixed number for 150 percent?
The mixed number for 150 percent is 11/2
How do you turn a mixed number into percent?
you turn percents into mixed numbers by turning the percent into a fraction then a mixed number
What fraction of 10 percent alcohol should be mixed with 70 percent alcohol to obtain 50 percent alcohol?
2/3 of 70% and 1/3 of 10%
How much of an alloy that is 30 percent copper should be mixed with 600 ounces of an alloy that is 90 percent copper in order to get a alloy that is 60 percent copper?
Since the percentages of copper in the two components to be mixed are symmetric about the desired result, the answer is that the same amounts should be used. 600 ounces of the 30% copper.
How much of an alloy that is 40 percent copper should be mixed with 400 ounces of an alloy that is 70 percent copper in order to get an alloy that is 50 percent copper?
200 ounces.
How much percent of the world think that boys and girls should stay mixed classes?
over 60%
How to Rewrite 145 percent as a mixed number?
145 percent (1.45) as a mixed number = 19/20
How do you write 125 percent as a mixed number?
125 percent (1.25) as a mixed number is: 11/4
