10.01.2009

The Three Candy Corn Jars



In my favorite shopping mall downtown there is a specialty shop that's bound to please anybody's sweet tooth. It's a candy store called Candylandia.In this store you can find just about any kind of candy your tastebuds would savor.

One favorite and traditional candy is the candy corn. Candylandia sells candy corn in three different-sized jars: small, medium, and large. The owner, who loves fairy tales too, calls them the Baby Bean jar, the Mama Bean jar, and the Papa Bean jar, respectively.


Strange as it may seem, each jar of a given size always contains the same number of candy corn as any other jar of that size.


One day, Mrs. Goldie Lochs brought her 9-year-old set of triplets, who had a big craving for candy corn, into the store. Each child (Allen, Bradley, and Charles) bought two different jars of candy corns, but none of the combinations were the same. At home, the children decided to count the number of corns that they had purchased.

Allen announced, avidly, "I have 157 candy corns!"
Bradley boasted boldly, "But I have 47 more than you do, so there!"

Charles chimed in, calmly, "Well, I have 112 less than you two guys have together, but I'm not complaining."


Using this unusual collection of information, please tell me how many candy corns are placed in each jar. Be careful to properly identify any variables you use. State your equations and describe in words how you solved the problem. Then give your equations and work them out for us.

Good Luck,
Ms. L.

P.S. Happy Birthday Mohandas Karamchand Gandhi


Solution:

What I noticed this week was many people did not read the problem carefully.  It stated that each child bought two (2) jars each.  You needed to give the size of the two jars and the total amount of candy.  You all gave me the total but not the size of the jars.  I also noticed many of you posted as partners.  If you do not see your posting please come and see me.
Ms. L.


Allen has 157 candy corns with the combination of a small jar and a
medium jar. A small jar contains 56 candy corns, and a medium jar
contains 101.

 
56 + 101 + 157

 
Brad has 204 candy corns with the combination of a small jar and a
large jar. A small jar contains 56 candy corns, and a large jar
contains 148.

 
56 + 148 = 204

 
Charles has 249 candy corns with the combination of a medium jar and
a large jar. A medium jar contains 101 candy corns, and a large jar
contains 148.


101 + 148 = 249