Given:
Cost of protein = $10.25 per pound
Cost of spirulina = $22.45 per pound
Cost of blend = $16.35 per pound
Weight of blend = 140 pounds
To find:
The quantity of spirulina it will need to make the blend.
Solution:
Let x be the quantity of protein and y be the quantity of spirulina in the blend. Then,
...(i)
Equation (i) can be written as:
...(ii)
...(iii)
Using (ii) and (iii), we get
Divide both sides by 12.2.
Therefore, 70 pounds of the spirulina it will need to make the blend.