Question

Lu is making a quilt that is 20 squares wide and has 18 rows the border of the quilt is made by using each toy design equally as often there are a total of 6 toy designs each square can hold 1 design how many of each design does she use for the border?

Answer 1

The correct answer is two designs are used 12 times each and other four designs are used for 13 times each.

Explanation:

Width of the quilt Lu is making is 18 rows of 20 squares each.

Thus the perimeter of the quilt is 20 + 20 + 18 + 18 = 76.

We can also say there are 76 square as the boundary which are to be bordered with toy designs.

Each square can hold 1 design of toy and there are 6 different designs of toys.

Thus number of times each design is used
`(76)/(6)` = 12
`(4)/(6)`.

Thus there are two designs used 12 times each and other four designs are used for 13 times each.