SOLUTION: Rabbits in a lab are to be kept on a strict daily diet that includes 30 grams of protein, 16 grams of fat and 24 grams of carbohydrates. the scientist has only three food mixes ava

Question 727245: Rabbits in a lab are to be kept on a strict daily diet that includes 30 grams of protein, 16 grams of fat and 24 grams of carbohydrates. the scientist has only three food mixes available with the following grams of nutrients per unit.
Protein fat carbohydrate
mix A 4, 6, 3
mix B 6, 1, 2
mix C 4, 1, 12
Find how many units of each mix are needed daily to meet each rabbits dietary need.
(Linear equations)

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint:

Let
x = amount of mix A (in units)
y = amount of mix B (in units)
z = amount of mix C (in units)

So if the diet "includes 30 grams of protein, 16 grams of fat and 24 grams of carbohydrates", and the mixes protein, fat and carb counts are given in the table, then this means

4x + 6y + 4z = 30 (I got this by reading down the first column of the table, then setting it equal to the protein count)

6x + 1y + 1z = 16 (same thing as above, but this time I'm in column 2)

3x + 2y + 12z = 24

-------------------------------------------------------

So after everything is all set up, you'll have these 3 equations

4x + 6y + 4z = 30
6x + 1y + 1z = 16
3x + 2y + 12z = 24
RELATED QUESTIONS
Rabbits in a lab are to be kept on a strict daily diet that includes 27 grams of... (answered by josgarithmetic)

i have 2 questions I have been confused on 1) A pharmacist needs 500 milliliters of... (answered by stanbon)

In order to ensure optimal health, a lab technician needs to feed the rabbits a daily... (answered by CPhill,ikleyn)

A certain diet consists of dishes A, B and C. Each serving of A has 1 gram of fat, 2... (answered by josmiceli)

In an experiment involving mice, a zoologist needs a food mix that contains, among other... (answered by josgarithmetic)

A farmer keeps some animals on a strict diet. Each animal is to receive 14.7 grams of... (answered by stanbon)

A dietitian makes sure that she always consumes twice as many grams of protein as grams... (answered by greenestamps,josgarithmetic)

A nutrition plan counts grams of fat, carbohydrates, and fiber. The grams of... (answered by richwmiller)

A farmer keeps some animals on a strict diet. Each animal is to recieve 12 grams of... (answered by ankor@dixie-net.com)