Question

1) There is a garden in Anu's house. In the middle of the garden there is a path. They decided

READING COMPREHENSION

to tile the path using tiles of length 2 feet, 3 feet and 5 feet.

The mason tiled the first row with 2 feet tiles, the

second row with 3 feet tiles and the third row with

3-feet tiles, and the third row with 5 feet tiles.

Then what is the shortest length of the path?

Answer 1

30 feet

Explanation:

we must find the smallest common multiple and the simplest way to do it is multiple 5 x 3 x 2 = 30 because 15 is not divisible by 2, and the next multiple of 5 and 3 divisible by 2 is 30.

or we can do it the long way:

the multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

the multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

the multiples of 5 are: 5, 10, 15, 20, 25, 30