Question

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 used? How many pounds of oats will be used?

Answer 1

The amount of Soyabean = 608.82 pounds.

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

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 (35)/(100)* 900=(46)/(100)* x+(12)/(100)* (900-x)`

`\Rightarrow 35* 900 = 46x + 12* 900 - 12 x`

`\Rightarrow 34x= 900(35-12)`

`\Rightarrow x = (900* 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.