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Question Number 48664 by ajfour last updated on 26/Nov/18

A t r a v e l s i n a d e s e r t, r e a c h e s a n

o a s i s a n d r e s t s . T h e n B c o m e s i n,

f o l l o w e d b y C . A f t e r a w h i l e t h e y

d i s c u s s, w h a t t o l u n c h o n;

B o p e n s a l u n c h b o x w i t h 5 c h a p a t i s,

C h a d g o t 3 c h a p a t i s . A h a d g o t

n o t h i n g . T h e y l u n c h e d t o g e t h e r

s h a r i n g e q u a l l y . T h e n A s a y s h e

g o t t o m o v e o n, a n d g a v e B

8 b u c k s, a s k i n g h i m t o s h a r e i t

w i t h C, a n d h e l e a v e s .

B k e p t 5 b u c k s a n d g a v e C 3 b u c k s .

C d i d n o t a g r e e a n d w a s a s k i n g

t o s h a r e i t e q u a l l y . B d e n i e d . T h e y

r e a c h a v i l l a g e w h e r e t h e y p u t f o r t h

t h e i r i s s u e w h e r e t h e j u d i c i a l h e a d

g i v e s a j u d g e m e n t q u i t e s u r p r i s i n g

t o b o t h B a n d C .

W h a t s h o u l d t h a t b e ?

Commented by math1967 last updated on 27/Nov/18

B g i v e s = 5 - \frac{8}{3} = \frac{7}{3}

C g i v e s = 3 - \frac{8}{3} = \frac{1}{3}

∴ R a t i o = \frac{7}{3} : \frac{1}{3} = 7 : 1

∴ B s h a r e = \frac{7}{8} \times 8 = 7 b u c k s

C^{'} s s h a r e = 8 - 7 = 1 b u c k

∴ C w i l l g i v e m o r e 2 b u c k s t o B

Commented by ajfour last updated on 27/Nov/18

t h a n k s s i r . n i c e s t o r y i t i s!

Commented by math1967 last updated on 27/Nov/18

t h a n k y o u s i r f o r n i c e s t o r y / p r o b l e m