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My name is Ann [436]
4 years ago
6

What is the value of x?

Mathematics
1 answer:
nevsk [136]4 years ago
7 0

Answer:

<h2>x = 4</h2>

Step-by-step explanation:

Use Basic Proportionality Theorem (<em>look at the picture)</em>.

Therefore we have the equation:

\dfrac{3x-2}{50}=\dfrac{6}{30}\qquad\text{cross multiply}\\\\30(3x-2)=50(6)\qquad\text{use the distributive property}\\\\(30)(3x)+(30)(-2)=300\\\\90x-60=300\qquad\text{add 60 to both sides}\\\\90x=360\qquad\text{divide both sides by 90}\\\\x=4

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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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