Math CentralQuandaries & Queries


Subject: Algebra with Trigonometry
Name: Ann
Who are you: Other

Some tiles are arranged in rows so that the number of tiles in each row is 8 more than the number of rows. The same number of tiles can be arranged in 3 more rows than the first pattern with 16 tiles in each row.
Find the total number of tiles.

Hello Ann.

In the first scenario, there are r rows and r+8 tiles per row, so there are r(r+8) tiles in total.

In the second scenario, there are r+3 rows and 16 tiles per row, so there are (r+3)16 tiles in total.

These are equal, so r(r+8) = (r+3)16.

Solve for r, then use that in either the left hand or right hand side above.

Hope this helps,
Stephen La Rocque.

About Math Central


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.
Quandaries & Queries page Home page University of Regina PIMS