Question

Yolanda buys two types of flowering plants. She buys 36 geraniums and 63 marigolds. She wants to plant an equal number of flowers in each row of her garden. Each row will contain only one type of flowering plant.
Part A: Yolanda uses all the plants she bought in her garden. Determine the greatest number of flowering plants that could be in each row of the garden.


Part B: How many rows of each type of flowering plant will be in Yolanda’s garden?


rows of geraniums

rows of marigolds

Answer 1

A) To find the greatest number of plants in each row, we have to find the greatest common factor between the number of geraniums (36) and the number of marigolds (63). The greatest number that goes into both numbers is 9. The greatest common factor between 36 and 63 is 9.


B) To find the number of flowers in each row, divide the number if geraniums and number of marigolds by the greatest common factor of 9.

Geranium Rows
36 ÷ 9= 4 rows

Marigold Rows
63 ÷ 9= 7 rows


ANSWER: Greatest number of flowers in each row is 9. There are 4 rows of geraniums and 7 rows of marigolds.

Hope this helps! :)

Answer 2

Find the multiples of 36 and 63:

36: 1, 2, 3, 4, 6, 9, 12, 18, 36
63:, 1,3, 7, 9, 21, 63
 the highest common multiple is 9

answer to part A is 9

Part B) divide each quantity by 9
geraniums: 36 / 9 =4 rows
marigolds: 63 /9 =7 rows