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

Question

1 month ago

9

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.

Mathematics

2 answers:

Zina [12.3K] · Answer 1 · 2026-04-04T13:02:34+03:00

Zina [12.3K]1 month ago

5 0

4 flowers in each row

18 rows of flowers

AnnZ [12.3K] · Answer 2 · 2026-04-04T13:04:45+03:00

Response:

The first number is 8.

The second number is 9.

Detailed explanation:

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

She intends to plant a single kind of flower per row, ensuring uniformity in each row's plant count.

To find the greatest common factor (GCF) 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

The GCF results in = 2 x 2 x 2 = 8

Thus, the highest number of flowers per row she can have is 8.

Total flowers are = $16+24+32=72$

By planting the maximum flowers possible in each row while utilizing all the flowers, she can achieve $\frac{72}{8}=9$ rows of flowers.

Alternatively, we can determine this through:

$\frac{16}{8}=2$

$\frac{24}{8}=3$

$\frac{32}{8}=4$

$2+3+4=9$ By summing these up, we obtain =

rows.