You have $30 to spend on picking 24 pounds of different types of fruit. The apples cost $1.40 per pound, blueberries cost $.90 per pound and cherries cost $1.10 per pound. I want twice as many pounds of apples as the other 2 fruits combined.
Apples are $1.40/lb -- weight of apples = A lbs -- cost of apples = A*(1.40)
Blueberries are $1.40/lb -- weight of blueberries = B lbs -- cost of blueberries = B*(0.90)
Cherries are $1.40/lb -- weight of Cherries = A lbs -- cost of cherries = C*(1.10)
Our system of equations is;
A + B + C + 24 -- total weight
A.(1.40) + b.(0.90) + c.(1.10) = 30.00 -- total cost
A = 2,(B + C) -- weight of A is twice weight of other two fruits combined.
if you wish to check your answer, it is: A = 16, B = 6, C = 2