- #1

anemone

Gold Member

MHB

POTW Director

- 3,883

- 115

[TIKZ]

\draw (0,0) -- (16.5, 0);

\begin{scope}

\clip (0,0) rectangle (4.5,4.5);

\draw (2.25,0) circle(2.25);

\draw (0,0) -- (4.5,0);

\end{scope}

\begin{scope}

\clip (6,0) rectangle (10.5,4.5);

\draw (8.25,0) circle(2.25);

\draw (6,0) -- (10.5,0);

\end{scope}

\begin{scope}

\clip (12,0) rectangle (16.5,4.5);

\draw (14.25,0) circle(2.25);

\draw (12,0) -- (16.5,0);

\end{scope}

\begin{scope}

\clip (2.75,0) rectangle (7.25,-4.5);

\draw (5,0) circle(2.25);

\draw (2.75,0) -- (7.25,0);

\end{scope}

\begin{scope}

\clip (9.25,0) rectangle (13.75,-4.5);

\draw (11.5,0) circle(2.25);

\draw (9.25,0) -- (13.75,0);

\end{scope}

\draw [<->] (4.5, 0.5) -- (6, 0.5);

\draw [<->] (10.5, 0.5) -- (12, 0.5);

\draw [<->] (0, -0.5) -- (2.75, -0.5);

\draw [<->] (7.25, -0.5) -- (9.25, -0.5);

\draw [<->] (13.75, -0.5) -- (16.5, -0.5);

\coordinate[label=left:12] (A) at (5.5,0.8);

\coordinate[label=left:12] (B) at (11.5,0.8);

\coordinate[label=left:22] (C) at (1.6,-0.8);

\coordinate[label=left:16] (D) at (8.6,-0.8);

\coordinate[label=left:22] (D) at (15.6,-0.8);

[/TIKZ]

As this is a Singapore primary math problem, it is understandable that one can solve it without the use of algebra method (form an equation and solve the equation is what I mean by algebra method). I enjoyed this problem quite a bit, therefore I wanted to post it here to let others to try to solve it without the use of algebra method...:)