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Soybean meal is 14% protein; cornmeal is 7%protein. How many pounds of each should be mixed together in order to get 280-lb mixture that is 10% protein?

a. How many pounds of the soybean meal should be in the mixture?

b. How many pounds of the cornmeal should be in the mixture?

Please Help Me!!!

Respuesta :

haneylia
Hey, I saw you asked me to help you with this question by sending a direct message.

x will represent the pounds of soybean meal and 280-x the pounds of cornmeal because cornmeal will be the rest of the mixture. 

.14x + .07(280-x) = .1(280)

.14x + 19.6 - .07 x = 28

.07x + 19.6 = 28

.07x = 28 - 19.6

.07x = 8.4

x = 8.4/.07

x = 120

You will need a total of 120 pounds of soybean meal. The amount of cornmeal will be 280 - x, which equals 120. 280 - 120 = 160 pounds of cornmeal in the mixture.

Hope I helped!
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