SOLUTION: 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.

Algebra.Com
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(52921)   (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?
------------
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.
------------


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.



RELATED QUESTIONS

An animal breeder can buy four types of food for Vietnamese​ pot-bellied pigs. Each... (answered by ikleyn)
An animal breeder can buy four types of food for Vietnamese​ pot-bellied pigs. Each... (answered by greenestamps)
a chicken farmer can buy a special food mix A at 20c per kg and special food mix B at 40c (answered by solver91311,ikleyn)
A Dietitian is preparing a meal consisting of foods: A,B and C. Each ounce of food A... (answered by stanbon)
Mr. Daley bought some pigs, goats, and sheep. Altogether he bought 100 animals and spent (answered by josgarithmetic,ikleyn,MathTherapy)
a chicken farmer can buy a special food mix A at 20c per kg and special food mix B at... (answered by ikleyn)
A dietitian arranges a special diet composed of two types of food, A and B. Each ounce of (answered by stanbon)
One horse costs $1000, one pig costs $200, and one chicken costs only $10. A farmer buys... (answered by user_dude2008,solver91311)
An 8-pound bag of cat food sells for $13.89. A 20-pound bag of the same brand sells for... (answered by Alan3354)