A rancher has to mix three types of feed for her cattle. The following analysis shows the amounts per bag of grain:
Grain Protein (kg) Carbohydrates (kg) Sodium (kg)
A 7 88 1
B 6 90 1
C 10 70 2
How many bags of each type of grain should she mix to provide 71kg of protein, 854 kg of carbohydrates and 12kg of sodium?
Let a, b and c denote the number of bags of each grain required then
Originally Posted by eureka
7a + 6b + 10c = 71 ..protien equation
88a + 90b + 70c = 854 ..carb. equation
a + b + 2c = 12 ..sodium equation.
These constitute a set of simultaneous linear equations which you should