8. A news dealer bought some magazines for $1. He sold them
for $1.20, gaining 5 cents on each magazine. How many
magazines were there?
9. A girl spent 1/8 of her money for car fare, and three times
as much for clothes. Half of what she had left was 80 cents.
How much money did she have at first?
10. Two girls receive $2.10 for making buttonholes. One makes
42, the other 28. How shall they divide the money?
11. Mr. Brown paid one third of the cost of a building; Mr.
Johnson paid 1/2 the cost. Mr. Johnson received $500 more
annual rent than Mr. Brown. How much did each receive?
12. A freight train left Albany for New York at 6 o'clock. An
express left on the same track at 8 o'clock. It went at the
rate of 40 miles an hour. At what time of day will it overtake
the freight train if the freight train stops after it has gone
56 miles?
A different type of measurement is accomplished by using Thorndike's
scale for measuring the quality of handwriting.[23] A typical
distribution of the scores which children receive on the handwriting
scale reads as follows: For a fourth grade one child writes quality
four, two quality six, five quality seven, seven quality eight, eight
quality nine, three quality ten, two quality eleven, two quality twelve,
one quality thirteen, one quality fourteen. In a table the distributions
of scores in penmanship for a large number of papers selected at random
show the following results:
============================================================
| GRADES
SCORES +------+------+------+------+------+------+-----
| 2 | 3 | 4 | 5 | 6 | 7 | 8
------------+-------------+------+------+------+------+-----
0 | -- | -- | -- | -- | -- | -- | --
1 | -- | -- | -- | -- | -- | -- | --
2 | -- | -- | -- | -- | -- | -- | --
3 | -- | -- | -- | -- | -- | -- | --
4 | 5 | 2 | -- | -- | -- | -- | --
5 | 22 | 2 | 3 | 3 | -- | 1 | --
6 | 21 | 21 | 16 | 3 | 2 | -- | 1
7 | 29 | 44 | 24 | 12 | 1 | 3 | 3
8 | 28 | 86 | 42 | 56 | 20 | 15 | 7
9 | 42 | 41 | 55 | 61 | 25 | 29 | 11
10 | 7 | 8 | 20 | 16 | 9 | 11 | 1
11 | 29 | 13 | 21 | 17 | 32 | 25 | 23
12 | 5 | 2 | 15 | 15 | 44 | 12 | 21
13 | 7 | 2 | 2 | 6 | 17 | 19 | 9
14 | -- | -- | 3 | 4 | 10 | 16 | 9
15 | -- | -- | 1 | -- | 9 | 6 | 15
16 | 1 | -- | -- | 1 | 10 | 12 | 17
17 | -- | -- | -- | -- | 6 | 2 | 3
18 | -- | -- | -- | -- | 3 | 1 | --
------------+------+------+------+------+------+------+-----
Total papers| 196 | 221 | 202 | 194 | 188 | 152 | 124
============================================================
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