Tuesday, February 4, 2014

Valentine's Day Project

What is your favorite type of candy for Valentine's Day?
Candy comes in many different packages, and often has a variety of kinds.   For example, a typical box of chocolates has fruit, cream, and nut fillings.  The different types of chocolate can be quantified using these categories.

Type    Quantity    Fraction
Fruit     6                6/22

Cream   4              4/22

Nuts   12               12/22

Total      22            22/22


Each of type can be described as a part of the whole box.  In the chart above the amount of candies that have either fruit or cream filling would be 10/22 or 5/11 of the chocolates.

If a candy company decided that it wanted to increase the amount of fruit and creams so it was 8/11 to satisfy its customers what would be the number of nuts filled candies in the box?