TEA

XI. REDUCTION,

“EACHETH to bring two or more numbers of different denominations, into one denomination; or it ferveth to change or alter numbers, money, weight, measure, or time, from one demonation to another, and is generally performed by multiplication, or divifion, as in Section VI.

The third example is multiplied the fame as the first, and the 14s. 6d. are taken in, in their proper places, viz. the 14 to the product of fhillings, the 6 in the pence, and the in the farthings.

To reduce foreign and English coins to pounds fterling.

RULE. Multiply the given number by the lowest denomination of the price or value of 1; and divide the product by fuch terms as will bring out the value in pounds.

Answer £. 297 10

Note. After the fame manner may any foreign coin be brought into English fterling.

To reduce pounds fterling into foreign and English coin.

RULE. Reduce both the fterling money and foreign coin into their lowest denomination; then divide one by the other, and the quotient will be the answer.

E. 1. A merchant is to pay 2967. 125. 3d. with dollars of 4s. 3d. each, how many will do it?

I 2

I 2

E. 3

E. 3. How many marks, each 13s. 4d. are in 2481. 9s. 2d. ?

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EXAMPLE 1. How many moidores are equal to 198 guineas?

To reduce one kind of coin into another.

RULE. Divide one by the other, in their lowest terms, and the

quotient will be the answer.

E. 2. How many crowns, 55. 44. each, are in 474 pistoles of 185. 6d. each?

198

s. d.

s, d.

Having fufficiently fhewn how money is changed from one denomination to another, I fhall now proceed to weights, measures, &c.

WEIGHTS and MEASURES.

EXAMPLE 1. In 12/6, of filver, how many ounces, pennyweights,

I.

In 69120 grains, how

4)69120

24

6)17280

210)288/0

12)144

Anfwer

Iz Pounds

E. 3. A gentleman fent 4 . 2 oz. 8 dwts. of old plate, to his filverfmith, with orders to make it into the following articles, viz. tankards each 19 oz. 18dwts.-cups each 14 oz. 10dwts.-falts 11 oz. 15dwts. -and fpoons z oz. 4 dwts. how many of each fort must he make?

E. 4. In 18 pounds, 2 ounces, 4 drams, 2 fcruples, and 12 grains,

E. 6. How many pounds of filver are there in one dozen of dishes, each weighing 25 ounces, 15 dwts. and one dozen of plates, each weighing 15 ounces, 15 dwts. 22 grains?

lb. oz.

dwts. grs.

I 15 O

2

I

E. 7. In a medicinal compofition of 25 pounds, 7 ounces, and 6 drams, how many papers of powder may be made thereout, each weighing 2 fcruples and 16 grains, allowing an ounce and a half to be loft in levigating and weighing, and admitting thefe powders were to be equally divided amongst 175 perfons, how many mnft each of them have ?

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