Respuesta :
Answer:
• 85% protein supplement: 480 pounds
,• 60% protein ration: 720 pounds
Explanation:
Let the number of pounds of 85% protein supplement required = x
The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).
Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs
First, we add the constituents we are mixing together.
[tex]0.85x+0.6(1200-x)[/tex]The final protein ration we want to obtain:
[tex]1200\times0.7[/tex]Equate both:
[tex]0.85x+0.6(1200-x)=1200\times0.7[/tex]Then solve the equation for x.
[tex]\begin{gathered} 0.85x+720-0.6x=840 \\ 0.85x-0.6x=840-720 \\ 0.25x=120 \\ \implies x=\frac{120}{0.25} \\ x=480\text{ pounds} \end{gathered}[/tex]The number of pounds of the 85% protein supplement he should use is 480 pounds.
[tex]1200-x=1200-480=720\text{ pounds}[/tex]The number of pounds of the 60% protein ration he should use is 720 pounds.
