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## 'The Tomato and the Bean' printed from http://nrich.maths.org/

The solutions we had in, varied in the ways
they were expressed.

We had many contributions from Crudgington
Primary School in Shropshire, U.K.

Hannah

Firstly, I drew two pictures one of a tomato plant and one of the
bean plant. Then I made myself a little chart like this ...

... and so on. As you can see that on the section where I worked
out the bean plant's results the first number I wrote was how much
the plant would need to increase in size. I found that this helped
me a lot. Then I wrote the height of the plant and finally how many
days it took for the plant to reach that height. I did this same
method for the tomato plant until the height was the same. So the
answer is: the height is $63$cm after $15$ days of growing.

Tom

First I looked at the information and saw that the bean plant
grew only $1$cm after $10$ days! So I started from $10$ days. And
after the bean plant grew $1$cm the tomato plant had already grown
$38$cm. And then after each day the bean plant doubled its current
size and the tomato plant grew $5$cm. So after $15$ days both
plants are $63$cm.

From Curl Curl North School in New South Wales
we had two answers that at first looked different but were just
being expressed from a different point of view. Christopher,
Ashton, Grace, Charlotte, Kaden, Ben, Kate, Charlie, Dylan, Josh,
Matthew and Mitchell's team, said;

$6$ days from the time the bean was first measured.

And from Sean, Emma, Emily, Amelia, Ed
and Stacey's team we had:

$5$ days because you count from when the bean was $3$ cm
tall.

I wonder if they thought the other team had
the wrong answer?