Arithmetic by Daniel Adams

Author:Daniel Adams
Language: eng
Format: epub, pdf
Published: 1848-03-25T05:00:00+00:00

Kt)TE. —If the chr5e foHo'mng examples be wiought correctly, flie Answers will be ^ here given.

8. A mail dividss 16 bar. 23 gal. 3 qts. of oil into 5 large vessels; how much does he put in each ?

Am. 3 bar. 11 gal. 0| qt.

9. On an acre of ground were erected 21 buildings, occupying on an average 3 sq. rds. 112 ft. 81 in.; how much remained unoccupied ? Ans. 2 roods 8 rods 86 ft. 63 in.

10.' If a man build 3 rds. 9 ft. 7 in. in length of wall in 1 day, how many rods can he build in 15 days ?

Ans. 53 rds. 11 ft. 9 in.

11. If a ship sail 3^ 18' 45" in one day, how far will it uail in the month of June ? Ans. 99° 22' 30".

12. If a druggist sell 1 gross 7 doz. bottles of sarsaparilla in 1 week, how many gross will he sell in the months of April, May and June, at the same rate ? Ans. 20 gr. 7 doz.

13. If a man, employed in counting money from k heap, count 100 silver dollars in a minute, and continue at the work 10 hours each day, how many days will it take him to count a million i Am. i6| days.

14. At the same rate, how many years, reckoning 366 days to a year, would it take him to count a billion ?

Ans. 45 years 241| days.

15. "Were 1000 men employed at this same business, each one counting at the same rate, 10 hours each day, how many years would it take them to couiit a quadrillion ?

Ans. ^662 years 36f days.

ANALYSIS.

V li4. In most examples in arithmetic, two things are given to find a third. Thus, in the relations of the price and quantity, the quantity and the price of a unit may be given to find the price of the quantity, or the quantity and its price to find the price of a unit, or the price of a unit and of a quantity to find the quantity. The same principles may readily be applied to other calculations.

This method of operating is called Analysis. Analysis, therefore, may be defined, the solving of questions on general principles.

We have presented (IF 46) these rules in connection, as applied to Whole numbers, and separately as applied to any

T134

ANALTSia

175

quantities in TT 77, 86, and 83. We will now present them together as applied to any quantities, with examples which mutually prove each other, except where there are some fractional losses.

I. The price of vnity, artd the quanr tity betTtg given, to fnd the price of the qmniity^

n. The quanti' III. The price of

ty, and the price of unity^ and the price

Vie quantity being of a quantity being

given, td find the given, to find the

price of unity y quantity.

Multiply the price ky the quantity.

RUUS.

Divide the cost by the quantity.

BXAMPIiSS FOR PRACTICSU

RUIiB.

Divide the price of the quantity by the price of unity.

1. At $302*40 per tun, what will Ihhd. 15gal.

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