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Two-thirds of the students in a class are wearing blue jeans. Two-sixths of the students who are wearing blue jeans are also wearing red shirts. What fraction of the students in the class are wearing blue jeans and red shirts?

Sagot :

Solution:

We will let x = be the whole class.
From the situation stated above, we can deduce the following facts:

             (2/3)x = students wearing BLUE JEANS.

             (2/6){(2/3)x)} = students wearing BLUE JEANS and RED SHIRT.

  THEREFORE: (4/18)x = students wearing BLUE JEANS and RED SHIRT.
                        
Reducing fraction to lowest term: we will have

                            (2/9)x = students wearing BLUE JEANS and RED SHIRT

Thus     2/9 is the fraction of the class "x" wearing BLUE JEANS and RED SHIRT.