# At the local sweet shop, three particularly nice sweets are on special offer. A Sparkle, a Wibbler and a Nobbler together cost 40p. - A Nobbler is over three times the price of a Sparkle. - Six Sparkles are worth more than a Wibbler. - A Nobbler, plus two Sparkles costs less than a Wibbler. Can you determine the price of each type of sweet?

1
by ransittaishu

2015-10-06T02:50:00+05:30

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S + W + N = 40
N > 3 S
6 S > W
N + 2 S < W

using the above, we can find that :    3 S < N < 4 S
5 S < W < 6 S

so the minimum of the sum  S + W +N will be:   9 S.  Nearest sum S+W+N that has integer division is =  10 S = 40    =>  S = 4.
then  12 < N < 16          and    20 < W < 24

Trying out some possibilities,  we get:
Sparkle = 4p,  Nobbler = 13p and  Wibber = 23p