Total fish in a tank











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A tank had 20 clownfish and angelfish. 4 clownfish were sold and some angelfish were added to the tank such that the number of angelfish increased by 50%. After that, there were 18 fish in the tank altogether. How many clownfish were there in the tank at first?



How do I create an algebraic expression for this?










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    up vote
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    A tank had 20 clownfish and angelfish. 4 clownfish were sold and some angelfish were added to the tank such that the number of angelfish increased by 50%. After that, there were 18 fish in the tank altogether. How many clownfish were there in the tank at first?



    How do I create an algebraic expression for this?










    share|cite|improve this question
























      up vote
      -1
      down vote

      favorite









      up vote
      -1
      down vote

      favorite











      A tank had 20 clownfish and angelfish. 4 clownfish were sold and some angelfish were added to the tank such that the number of angelfish increased by 50%. After that, there were 18 fish in the tank altogether. How many clownfish were there in the tank at first?



      How do I create an algebraic expression for this?










      share|cite|improve this question













      A tank had 20 clownfish and angelfish. 4 clownfish were sold and some angelfish were added to the tank such that the number of angelfish increased by 50%. After that, there were 18 fish in the tank altogether. How many clownfish were there in the tank at first?



      How do I create an algebraic expression for this?







      percentages word-problem






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      asked 13 hours ago









      RukaiPlusPlus

      675




      675






















          2 Answers
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          You have $c+a=20$.



          The clownfish were sold, so c becomes $c-4$.



          The angelfish population increases by $50%$, so $a$ become $1.50a$.



          Now, we have $c-4+1.50a=18$.






          share|cite|improve this answer




























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            In the beginning, there are a total of $20$ fish in the tank. Let's mark $C$= number of clownfish in the beginning and $A=$number of angelfish in the beginning. Now we know that
            $$
            C+A = 20
            $$

            Then 4 clownfish were sold, resulting in $C$ getting replaced by $C-4$. Then the number of angelfish is increased by $50~%$, meaning that $A$ is replaced by $frac{3}{2}A$. So at the end we have 18 fish
            $$
            (C-4) + frac{3}{2}A = 18
            $$

            Simplifying the equations, we get the following pair of equations:
            $$
            left{
            begin{array}{cccc}
            C &+ A &=& 20 \
            2C &+ 3A &=& 44
            end{array}
            right.
            $$

            Do you know how to solve this now?






            share|cite|improve this answer





















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              2 Answers
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              2 Answers
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              up vote
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              down vote













              You have $c+a=20$.



              The clownfish were sold, so c becomes $c-4$.



              The angelfish population increases by $50%$, so $a$ become $1.50a$.



              Now, we have $c-4+1.50a=18$.






              share|cite|improve this answer

























                up vote
                0
                down vote













                You have $c+a=20$.



                The clownfish were sold, so c becomes $c-4$.



                The angelfish population increases by $50%$, so $a$ become $1.50a$.



                Now, we have $c-4+1.50a=18$.






                share|cite|improve this answer























                  up vote
                  0
                  down vote










                  up vote
                  0
                  down vote









                  You have $c+a=20$.



                  The clownfish were sold, so c becomes $c-4$.



                  The angelfish population increases by $50%$, so $a$ become $1.50a$.



                  Now, we have $c-4+1.50a=18$.






                  share|cite|improve this answer












                  You have $c+a=20$.



                  The clownfish were sold, so c becomes $c-4$.



                  The angelfish population increases by $50%$, so $a$ become $1.50a$.



                  Now, we have $c-4+1.50a=18$.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 13 hours ago









                  Saketh Malyala

                  7,3111534




                  7,3111534






















                      up vote
                      0
                      down vote













                      In the beginning, there are a total of $20$ fish in the tank. Let's mark $C$= number of clownfish in the beginning and $A=$number of angelfish in the beginning. Now we know that
                      $$
                      C+A = 20
                      $$

                      Then 4 clownfish were sold, resulting in $C$ getting replaced by $C-4$. Then the number of angelfish is increased by $50~%$, meaning that $A$ is replaced by $frac{3}{2}A$. So at the end we have 18 fish
                      $$
                      (C-4) + frac{3}{2}A = 18
                      $$

                      Simplifying the equations, we get the following pair of equations:
                      $$
                      left{
                      begin{array}{cccc}
                      C &+ A &=& 20 \
                      2C &+ 3A &=& 44
                      end{array}
                      right.
                      $$

                      Do you know how to solve this now?






                      share|cite|improve this answer

























                        up vote
                        0
                        down vote













                        In the beginning, there are a total of $20$ fish in the tank. Let's mark $C$= number of clownfish in the beginning and $A=$number of angelfish in the beginning. Now we know that
                        $$
                        C+A = 20
                        $$

                        Then 4 clownfish were sold, resulting in $C$ getting replaced by $C-4$. Then the number of angelfish is increased by $50~%$, meaning that $A$ is replaced by $frac{3}{2}A$. So at the end we have 18 fish
                        $$
                        (C-4) + frac{3}{2}A = 18
                        $$

                        Simplifying the equations, we get the following pair of equations:
                        $$
                        left{
                        begin{array}{cccc}
                        C &+ A &=& 20 \
                        2C &+ 3A &=& 44
                        end{array}
                        right.
                        $$

                        Do you know how to solve this now?






                        share|cite|improve this answer























                          up vote
                          0
                          down vote










                          up vote
                          0
                          down vote









                          In the beginning, there are a total of $20$ fish in the tank. Let's mark $C$= number of clownfish in the beginning and $A=$number of angelfish in the beginning. Now we know that
                          $$
                          C+A = 20
                          $$

                          Then 4 clownfish were sold, resulting in $C$ getting replaced by $C-4$. Then the number of angelfish is increased by $50~%$, meaning that $A$ is replaced by $frac{3}{2}A$. So at the end we have 18 fish
                          $$
                          (C-4) + frac{3}{2}A = 18
                          $$

                          Simplifying the equations, we get the following pair of equations:
                          $$
                          left{
                          begin{array}{cccc}
                          C &+ A &=& 20 \
                          2C &+ 3A &=& 44
                          end{array}
                          right.
                          $$

                          Do you know how to solve this now?






                          share|cite|improve this answer












                          In the beginning, there are a total of $20$ fish in the tank. Let's mark $C$= number of clownfish in the beginning and $A=$number of angelfish in the beginning. Now we know that
                          $$
                          C+A = 20
                          $$

                          Then 4 clownfish were sold, resulting in $C$ getting replaced by $C-4$. Then the number of angelfish is increased by $50~%$, meaning that $A$ is replaced by $frac{3}{2}A$. So at the end we have 18 fish
                          $$
                          (C-4) + frac{3}{2}A = 18
                          $$

                          Simplifying the equations, we get the following pair of equations:
                          $$
                          left{
                          begin{array}{cccc}
                          C &+ A &=& 20 \
                          2C &+ 3A &=& 44
                          end{array}
                          right.
                          $$

                          Do you know how to solve this now?







                          share|cite|improve this answer












                          share|cite|improve this answer



                          share|cite|improve this answer










                          answered 13 hours ago









                          Matti P.

                          1,596413




                          1,596413






























                               

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