Fish Farm I
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Fish Farm I
A Fishy Family
For their birthday, the Carp triplets received 26 tropical fish: 13
females and 13 males. They discussed ways to divide the fish among
their three tiny backyard ponds.
Angel said, "I want the same number of male and female fish in
my pond."
"Okay," said Molly. "I want three times as many males as females in
my pond."
"Then I want twice as many females as males in my pond," Gar replied.
Is there a way to put all 26 fish into those three ponds, while giving
each triplet what he or she wants? Use the applet to explore this
question.
Questions
 How many male fish and female fish does each triplet get in his
or her pond? Describe the work you did to find the solution.
(Sample questions you can answer: Into which pond did you put fish
first? How many fish of each kind went into that pond? Why? What
was your next step? How were you sure a pond had the correct ratio?)
 Given the 13 males and 13 females, what are ALL the possible
numbers of male and female fish that would satisfy the ratio of 1 male
to 2 female fish in Gar's pond? Explain why these different amounts
are equivalent to the ratio 1:2.
Bonus: Explain why all possible answers in question 2 result
in the same pie graph for Gar's pond.
Extension Problems (not to be submitted):
 Find a different way to distribute all 26 fish among the
three ponds in the correct ratios.
 Distribute the fish into the three ponds such that only 1 female
fish is left in the large tank. Is there more than one way to
distribute the fish and achieve the target ratios?
 Distribute the fish into the three ponds such that only 1 male
fish is left in the large tank. Is there more than one way to
distribute the fish and achieve the target ratios?
