Mathematicall recreations. Or a collection of sundrie problemes, extracted out of the ancient and moderne philosophers, as secrets in nature, and experiments in arithmeticke, geometrie, cosmographie, horolographie, astronomie, navigation, musicke, opticks, architecture, staticke, machanicks, chimestrie, waterworkes, fireworks, &c. ... Most of which were written first in Greeke and Latine, lately compiled in French, by Henry Van Etten Gent. And now delivered in the English tongue, with the examinations, corrections, and augmentations.

PROBLEM. LXII. Three women A. B. C. carryed apples to a mar∣ket to sell, A. had 20, B. 30, and C. 40; they sold as many for a penny, the one as the other: and brought home one as much money as another, how could this be.

THe answere to the Probleme is easie, as suppose at the beginning of the market: A. sold her apples at a

[illustration] diagram

penny an apple: and sold but 2. which was 2 pence, and so shee had 18 left: but B. sold 17. which was 17 pence, and so had 13. left: C. sold 32 which was 32 pence, and so had 8 apples left: then A. said she would not sell her apples so

cheape, but would sell them for 3 pence the ••••eece, which shee did: and so her apples came ••o 54 pence, and B. having left but 13 apples sold them at the same rate which came to 39 ••ence: and lastly C. had but 8 apples, which at the same rate came to 24 pence: these summes of money which each others before received come to 56 pence, and so much each one recei∣ved; and so consequently brought home one as much as another.