Problema Solution
Rabbits in a lab are to be kept on a strict daily diet that includes 37 grams of protein, 31 grams of fat, and 38 grams of carbohydrates. The scientist has only three food mixes available with the following grams of nutrients per unit. Find how many units of each mix are needed daily to meet each rabbit's dietary need.
Protein
Fat
Carbohydrate
Mix A
3
6
2
Mix B
6
2
4
Mix C
7
1
18
Answer provided by our tutors
Let
a = number of units of Mix A
b = number of units of Mix B
c = number of units of Mix C
3a + 6b + 7c = 37
6a + 2b + c = 31
2a + 4b + 18c = 38
.........
click here to see the system of equations solved for a, b, and c
........
a = 4 units
b = 3 units
c = 1 units
4 units of Mix A, 3 units of Mix B and 1 unit of Mix C are needed.