Problema Solution
You have $60 to buy fish for a 30-gallon aquarium. Each angelfish costs $12 and needs at least 6 gallons of water. Each neon tetra costs $3 and needs at least 3 gallons of water. How many of each kind of fish can you buy?
Answer provided by our tutors
let
x = the number of anglefish, x=>0
y = the number of neon tetra fish, y=>0
the cost of the fish
12x + 3y <= 60
the water needed for the fish
6x + 3y <= 30
lets solve the system of inequalities
12x + 3y <= 60
6x + 3y <= 30
draw the graph
to see the graph click here
look at the graph. the area overlapping gives the solutions:
0 <= x <= 5
0 <= y <= 10
he can buy not more then 5 anglefish and not more then 10 neon tetras fish.