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 | -- ------------+------+------+------+------+------+------+-----