Math 149

Spring 04

Fraction Tile Problems

 

Each of these problems involves four colors of tiles: red, yellow, blue, and green.

 

1.  There are some tiles on the table.  1/4 of the tiles are green, 1/4 of the tiles are yellow, 1/4 of the tiles are red, and 5 tiles are blue.  How many tiles of each color are on the table?

 

2.  There are some tiles on the table. 

                        The number of green tiles is 2/3 the number of blue tiles.

                        The number of blue tiles is 3/4 the number of yellow tiles.

                        There are 24 yellow tiles.

                        The number of red tiles is 1/3 the number of green tiles.

How many tiles of each color are on the table?

 

3.  There are some tiles on the table.

                        The number of red tiles is half the number of blue tiles.

                        The number of red tiles is one-quarter the number of green tiles.

                        The number of red tiles is one-third the number of yellow tiles.

                        The number of yellow tiles is fifteen.

How many tiles of each color are on the table?

 

4.  There are some tiles on the table.

                        1/3 of the total tiles on the table are red.

                        1/4 of the total tiles on the table are blue.

                        4 of the tiles on the table are yellow.

                        6 of the tiles on the table are green.

How many tiles of each color are on the table?

 

5.  There are some tiles on the table.

                        8 of the tiles are red.

                        2/5 of the tiles are yellow.

                        1/10 of the tiles are green.

                        3/10 of the tiles are blue.

How many tiles of each color are on the table?

 

6.  1/2 the tiles on the table are blue, 1/4 of the tiles on the table are red, and 1/6 of the tiles on the table are green.  What fraction of the tiles on the table are yellow?  Does this question have more than one answer?

 

7. Make up your own problem like the ones on this page.  Make it hard, but doable.  You will exchange problems with another group.

 

Copyright 2005, Debra K. Borkovitz.  You may copy or edit this material for non-profit, educational use only.

 

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