Question 1139313: An animal breeder can buy four types of food for Vietnamese pot-bellied pigs. Each case of Brand A contains 25 units of fiber, 30 units of protein, and 30 units of fat. Each case of Brand B contains 100 units of fiber, 80 units of protein, and 70 units of fat. Each case of Brand C contains 275 units of fiber, 210 units of protein, and 190 units of fat. Each case of Brand D contains 100 units of fiber, 80 units of protein, and 60 units of fat. How many cases of each brand should the breeder mix together to obtain a food that provides 3950 units of fiber, 3060 units of protein, and 2740 units of fat?
Let x represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 3950 units of fiber, 3060 units of protein, and 2740 units of fat.
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52915)   (Show Source):
You can put this solution on YOUR website! .
Did you EVER hear that EACH and EVERY Math problem, which comes to this fotum, MUST go with a question ?
? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Answer by josgarithmetic(39630)  (Show Source):
You can put this solution on YOUR website! -----------
How many cases of each brand should the breeder mix together to obtain a food that provides 3950 units of fiber, 3060 units of protein, and 2740 units of fat?
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Let x represent the number of cases of Brand A, y represent the number of cases of Brand B, z represent the number of cases of Brand C, and w represent be the number of cases of Brand D. There are four ways in which the breeder can mix brands to obtain a food that provides 3950 units of fiber, 3060 units of protein, and 2740 units of fat.
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BRAND Variable Fiber Protein Fat
A x 25 30 30
B y 100 80 70
C z 275 210 190
D w 100 80 60
Needed 3950 3060 2740
This is not a finished solution; but just a system of equations according to the described information and the given question.
This has one fewer equation than number of variables.
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