[Guest]

Gwendar, a cave dwarf, loves sweets. When a candy maker came into town, she was one of his first customers. She purchased three different kinds of candy: bonbons, sweetles and chocos, buying as many pieces of each kind of candy as its price per piece in shukels.

Gwendar paid an average of 7 shukels for each piece of candy, but each of the three kinds cost a different amount of shukels per piece. Bonbons cost the most, sweetles cost less, and chocos cost the least per piece. All of the candies cost at least 4 shukels per piece. Compared to bonbons, one of the other two kinds of candy costs 3 shukels less per piece. Gwendar spent less than 150 shukels. How many of each kind did she buy?

[Guest]

nine bonbons, six sweetles and four chocos.

[Guest]

b>s>c>=4; b+s+c<150/7=<22; b^2+s^2+c^2=7(b+s+c); => b=9, s=6, c=4

[Guest]

I got four sets of answers {5,7,8};{4,6,10} {4,7,9}and {4,6,9}.

[Guest]

I got four sets of answers {5,7,8};{4,6,10} {4,7,9}and {4,6,9}.

cost of bonbons is greater than one of the other two by 3 and (5,7,8) doesnot satisfy the condition... hence the only answer is (4,6,9)