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melamori03 [73]
2 years ago
7

3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be u

sed? How many pounds of oats will be used?
Mathematics
1 answer:
Anarel [89]2 years ago
5 0

Answer:

The amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

Step-by-step explanation:

Given that the Soybean Meal has 46% CP and Oats has 12% CP.

The total amount of ration is 900 lbs of 35% CP.

Let x pounds of Soyabean has been used, so,

the amount of Oats = 900-x lbs.

The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e

35% of 900 = 46% of x + 12% of (900-x)

\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)

\Rightarrow  35\times 900 = 46x + 12\times 900 - 12 x

\Rightarrow 34x= 900(35-12)

\Rightarrow x = (900\times 23)/34

\Rightarrow x = 608.82 lbs.

So, the amount of Soyabean = 608.82 pounds.

The amount of Oats  = 900-608.82 = 291.18 pounds.

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Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2
mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

21x+117

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

25x+95

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

21x+117=25x+95

Subtract 21x from both sides of the equation:

117=4x+95

Subtract 95 from both sides of the equation:

22=4x

Divide both sides of the equation by the coefficient of x, which is 4:

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x=5.5

So it will take five and a half weeks for her accounts to have the same amount of money.

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Check your work by substituting 5.5 into the initial equation:

21(5.5)+117=25(5.5)+95

115.5+117=137.5+95

232.5=232.5

Since the accounts have the same amount, the answer is correct!

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