Question

Planning a Walk of Fame

Naomi is designing a walk of fame to honor her school’s best athletes. The

walkway will consist of a pattern of tiles, as shown in the figures below. There will

be two rows of tiles that are inscribed with the names of athletes, and a row of

plain tiles in between. In the pattern, n is the number of names on each side of the

walk.

n = 3

Name

Name

Name

Name

Name

Name

n = 2

Name

Name

Name

Name

n = 1

Name

Name

The inscribed tiles cost $15 each, and the plain tiles cost $5 each. Naomi’s budget

for the tiles is $500.

Task Description

Determine the number of athletes the school will be able to honor on the walk

of fame.

Answer 1

This is a very big question!

Answer 2

She would be able to honor all 12 athletes. all I done was multiplied 12×$15=$180 because they want to honor 12 athletes, and they want to buy 12 plain tiles which cost $5 a piece so I multiplied 12×$5=$60, then I added $180+$60=$240 so she would still have $260 left over, which means if she decided to make the 12 plain tiles inscribed with more names she could do that with $20 left over.

I hope this helps.