Question

Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden. She wants to plant only one type of flower in each row, and she wants each row to have the same number of plants. The maximum number of flowers she can plant in each row is ___. If she plants the maximum number of flowers in each row and uses all of the flowers, she can plant ____ rows of flowers.

Answer 1

8 and 9

.........................................................................

Answer 2

First part is 8.

Second part is 9.

Explanation:

Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden.

She wants to plant only one type of flower in each row, and she wants each row to have the same number of plants.

We will take the greatest common factor of 16, 24 and 32

16 = 2 x 2 x 2 x 2

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

Now the greatest common factor is = 2 x 2 x 2 = 8

Therefore, the maximum number of flowers she can plant in each row is 8.

All flowers are =
`16+24+32=72`

If she plants the maximum number of flowers in each row and uses all of the flowers, she can plant
`(72)/(8)=9` rows of flowers.

Or we can also find this by :

`(16)/(8)=2`

`(24)/(8)=3`

`(32)/(8)=4`

Totaling these we get =
`2+3+4=9` rows.