Soybean meal is 18% protein and cornmeal is 9% protein how many pounds of each should be mixed to get 360 pounds that is 17% protein?
Check the answers to the Related Questions below.
in 1992, the life expectancy of males in a certain country was 70.5 years.
in 1992, the life expectancy of males in a certain country was 70.5 years. in 1997, it was 7.9 years. let E represent the life expenctancy in year t and let t represent the number of years in 1992.
To solve this problem, we can use the method of weighted averages. Let's assume we need x pounds of soybean meal and y pounds of cornmeal.
Given that soybean meal is 18% protein and cornmeal is 9% protein, we can calculate the amount of protein in each ingredient:
For soybean meal:
Amount of protein = 0.18 * x pounds
For cornmeal:
Amount of protein = 0.09 * y pounds
Since we want the final mixture to be 360 pounds with a protein content of 17%, we can set up the equation:
Amount of protein in the mixture = 0.17 * 360 pounds
Combining the equations, we get:
0.18x + 0.09y = 0.17 * 360
Simplifying the equation:
0.18x + 0.09y = 61.2
Now, we need to solve this system of equations to find the values of x and y. There are multiple methods to solve this, such as substitution or elimination. Let's solve it using the substitution method.
From the first equation, we can isolate x:
x = (61.2 - 0.09y) / 0.18
Substituting this into the second equation:
0.18 * ((61.2 - 0.09y) / 0.18) + 0.09y = 61.2
Simplifying further:
61.2 - 0.09y + 0.09y = 61.2
Since the y terms cancel out, we're left with:
61.2 = 61.2
This equation is true for any value of y. So, there are infinitely many solutions. However, we can still find a particular solution. Let's assume y = 360 pounds (the total amount we want) and calculate x using the first equation:
x = (61.2 - 0.09 * 360) / 0.18
x = (61.2 - 32.4) / 0.18
x = 28.8 / 0.18
x = 160 pounds
Therefore, to get a mixture of 360 pounds with 17% protein, you would need to mix 160 pounds of soybean meal with 360 pounds of cornmeal.