Answer:
mix A = 40 gram
Mix B = 75 gram
Step-by-step explanation:
Each animal should receive 34 grams of protein and 5 grams of fat.
Food A ( x gram)
Protein = 0.1x
Fat = 0.05x
Food B ( y gram)
Protein = 0.4y
Fat = 0.04y
The grams of each mix should be used to obtain the right diet for one animal
Protein needed = 0.1x + 0.4y = 34
0.1x + 0.4y = 34 .....(1)
Fat needed = 0.05y + 0.04y = 5
0.05x + 0.04y = 5 ......(2)
Solve equation (1) and (2) simultaneously
x + 4y = 340
5x + 4y = 500
( note: I multiply (1) by 10 and equation (2) by 100)
- 4x = - 160
X = 40 gram
Substitute x in equation 1
4y = 300
Y = 75 gram
Therefore mix A = 40 gram
Mix B = 75 gram
