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188 Crowns. How many Pounds of Pepper had he for 8 Crowns, and how many of Saffron for 26?

936

5 640

936 구

188

Il* = Saffion.

2 * + 14 = Pepper. Then

3

*: 26 :: 36 :
And
41

640
it + 14:8 :: 80:

x+14 ..

*414 5X*+146 936x4-13104 640 +

=188x+2632 71040x7936x+13104=188xx+2632x 7-1526x 8188xx+1056x=13104

8 = 188 91 xx + 5,617x=69,702
9 CO IC *x + 5,617% +- 7,8845= 77,586

10 W 2 11 * + 2,808 = 8,808
II-2,80812 * = 6= Pounds of Saffron.
by the 2d. 13* + 14 = 20 Pounds of Pepper,

X

6 x *

No. 94.

Some Companions at an Inn spent 3 l. 15 s. before paying the Reckoning, two went away, by which each of the rest was obliged to pay ten Shillings more than his equal Club, I demand the Number at first?

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Then

* = the Number at first. 2175

= every Man's true Club. , 31 *-2= the Number of Men when

two were gone.

And

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5XX-2 61

754-150 75 - 10x + 20 = 6Xx 71 75*

10*x+20x = 75*~ 150 7---75%

8 Toxx + 20x = 150 ...

20% = 150 9 10 10 XX

2x = 15 10 CO

II XX 2x +I= 16 I I UV 2 12 X

14 · 12 + 1131 * = 5 the Number of Men at first.

9 10xx

No. 95.

Two Travellers set out at the same Time from two Cities, the one from A, and the other from B, which are 120 Miles distant from one another; the first goes five Miles a Day, and the other 3 Miles less than the Number of Days in which they meet. When will they meet?

x = the Time required,
21 5* I the Miles the first travelled.

3 *3.3the Second's daily Journey: 3XT 41 xx 3x = the Miles the second tra.

velled. 2 + 4. 15. ** + 2x = 120 5 CD6** + 2x + 1 = 121

71

tI= 7 Ī 181

181 x = 10 the Days they travels

6 UN 2

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No. 96.

A Poft fets out from A towards B, who travels 8 Miles a Day; after he had got 27 Miles another sets out from B to meet him, who goes every Day to of the whole Distance of the Places A and B, and meets the first Poft after so many Days as is zo of the said Distance. I demand the Number of Miles berween them?

1 * = the Distance required.

= the Time the second travelled.

2 *

20

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20

XX

:

20

20

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7 X 400! 8

And

4
8x

+ 27 the Miles the first travelled. Then

51
I:

400 And

6) **

= the Miless the second travelled.

1400 4 + 6 7 ** 8x

+ + 27 = x 1400

20

3200X ** +

+ 10800 = 400x 8 X 2019 20*x + 3200% + 216000 = 8000x 9-3200x|10 20x* + 216000 = 4800x 10-216000m 20xX = 4800x 216000 11--4800x12) 20** 4800x - 216000 12 • 2013

240x = 10800 13C 14 ** – 240x + 14400 = 3600 14 VU 215

I20 = 60 15 + 120 161 * = 180 the Distance of the two Pla

ces.

20

**

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No.

No. 97:

Two Men depart at the same Time, one from London the other from Lincoln, keeping the same Road, and when they mett, says A to B, I find I have travelled 20 Miles more than you, and have gone as much in 6 į Days as you have done hitherto; I know, says the other, you are the best Walker, but if I go on as I have done, I shall finish my

Journey in 15 Days hence. What was the Distance of the Places, and how much did they travel per Day?

1 * + 20 = the Miles gone by A,

when they meet.

21 * = what B goes in the same Time. 1+2 3 2* + 20 = the whole Distance.

Thirds
Then

20x+400
41

20:*+20:

Thirds
And 51

45*
x+20 : 45 :: * :

x+20
6) 45*

20x+400
*+20
6 X * 7

45xx

20x + 400

*+20 7X*+20 81 45XX = 20xX + 800x + 8000:8

9 25** = 800x + 8000 925 10 ** = 32x + 320 10-32x D xx 32% = 320 І С 12. ** - 32% + 256 = 576 12 vu 2 13 *-16=V 576 = 24 13 + 16 14 * = 40 by the ift. |15.1 x + 20 = 60

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20**

14 + 15 116 2x + 20 = 100 the whole Distance in

Miles. And

per Day, and B 4,

goes 6 Miles

No. 98.

A desires B, to let him know how

many

Pounds he had in his Purfe; B answered if I double the Number, and add 20 more than the square Root of the Sum doubled, to the doubled Sum, and lastly add this Sum to its Square, the Number of my Pounds would then be 194040. Now how many is in the Purse?

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2

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the Pounds in the Purse: Then 21 xx = the Pounds doubled. And 31 x+

*x+x+20 = y by Substitution. Then

4 Yy+y = 194040

yytit,25 = 194040,25

6y+,5 = V194040,25 = 440,5 6

71 y = 440

81 xx+*+20 = 440 by Restitution. 8

91 xx ta* = 420 9 CO 10 **+ * +,25 = 420,25

11 *+25 =.V 420,25 0 20,5 95 12 x

20 by the aft, 13. **

= 200 thé Pounds in the Purse.

4 Co 5 VU 2

15

20

10 vu 2

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No: 99.

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Two Travellers set out at the same Time from two Cities which are 129 Miles asunder, one of them goes 6 Miles every Day, and the other 2 Miles the

first

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