The number of pounds of 60% protein and 20% protein supplement used is 700 and 700 pounds respectively.
Simultaneous equation
let
- Pounds of 60% protein used = x
- Pounds of 20% protein used = y
x + y = 1400
0.60x + 0.20y = 1400×0.40
0.60x + 0.20y = 560
From (1)
x + y = 1400
x = 1400 - y
Substitute into (2)
0.60x + 0.20y = 560
0.60(1400 - y) + 0.20y = 560
840 - 0.60y + 0.20y = 560
- 0.60y + 0.20y = 560 - 840
-0.40y = -280
y = -280/-0.40
y = 700 pounds
Recall,
x + y = 1400
x + 700 = 1400
x = 1400 - 700
x = 700 pounds
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