SANDFORD AND MERTON. 125
these ingenious contrivances, for I should like to understand them
all?”
“Yes,” answered Mr. Barlow, ‘‘there are more, and all of them
you shall be perfectly acquainted with in time; but for this purpose
you should be able to write, and comprehend something of arithmetic.”
Tommy. What is arithmetic, sir?
Mr. Barlow. That is not so easy to make you understand at once;
I will, however, try to explain it. Do you see the grains of wheat
which lie scattered in the window?
Tommy. Yes, sir.
Mr. Barlow. Can you count how many there are?
Tommy. There are just five and twenty of them.
Mr. Barlow, Very well. Here is another parcel: how many grains
are there?
Tommy. Just fourteen.
Mr. Bariow. If there are fourteen grains in one heap, and twenty-
five in the other, how many grains are there in all? or, how many do
fourteen and twenty-five make? .
Tommy was unable to answer, and Mr. Barlow proposed the same
question to Harry, who answered that, together, they made thirty-
nine.
“ Again,” said Mr. Barlow, ‘ I will put the two heaps together,
and then how many will there be?”
Tommy. Thirty-nine. :
Mr, Barlow. Now look—I have just taken away nineteen from-the
number; how many, do you think, remain ?
Tommy. I will count them.
Mr. Barlow. And cannot you tell without counting? How many
are there, Harry?
Harry Twenty, sir.
Mr. Barlow. All this is properly the art of arithmetic, which is the
same as that of counting, only it is done ina much shorter and easier
way, without the trouble of having the things always before you.
Thus, for instance, if you wanted to know how many barleycorns
were in this sack, you would perhaps be a week in counting the whole
number,
Tommy. Indeed, I believe I should.
Mr. Barlow, Uf you understood arithmetic you might do it in five
minutes.
Tommy. That is very extraordinary indeed ; I can hardly conceive
it possible.
Mr. Barlow. A bushel of corn weighs about fifty pounds ; this