Soybean meal is 14% protein; cormeal is 7% protein. How manyof each should be mi

Question

Soybean meal is 14% protein; cormeal is 7% protein. How manyof each should be mixed together in order to get 280lb mixture thatis 11% protein. How many pounds of cormeal should be in the mixture? How many pounds of soybean meal should be in themixture? Soybean meal is 14% protein; cormeal is 7% protein. How manyof each should be mixed together in order to get 280lb mixture thatis 11% protein. How many pounds of cormeal should be in the mixture? How many pounds of soybean meal should be in themixture?

Explanation / Answer

1. The resulting weight of protein must be the combinedweights from the cormeal and soybean. This gives us the equation(0.14)x+(0.07)y=(0.11)280=30.8 2. The resulting weight of the mixture will be the combinedweight of the cornmeal and soybean. Which means x+y=280
Now we have a system of equations, which we can solve bysubstitution. We see in our second equation that we can subtract yfrom both sides to find x=(280-y). Now we substitute this value forx into our first equation to find: (0.14)(280-y)+(0.07)y=30.8 Now we distribute the 0.14 39.2-0.14y+0.07y=30.8 Now we subtract 39.2 from both sides and combine our y valueson the left. -0.07y=-8.4 Lastly, we divide both sides by -0.07 and find y=120 since y=120, then x=280-120=160 So the answer is 160 pounds of soybean meal and 120 pounds ofcormeal.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.