Nancy wants to plant 16 tulip bulbs and 24 daffodil bulbs. She wants to plants rows of tulips and rows of daffodils. She wants the same number of flowers in each row. What are the longest rows of flowers she plants?
10 flowers in each row
Which is correct answer? 8 or 10 flowers in a row?
To find the longest rows of flowers Nancy can plant, we need to find the greatest common divisor (GCD) of the number of tulip bulbs (16) and daffodil bulbs (24). The GCD will represent the maximum number of flowers that can be placed in each row.
To find the GCD, we can use the following steps:
1. List all the factors of the smaller number (16), which are 1, 2, 4, 8, and 16.
2. Check which of these factors divide evenly into the larger number (24). We find that 1, 2, 4, and 8 divide evenly into 24.
3. Out of these common factors, the largest one is 8. Therefore, the GCD of 16 and 24 is 8.
Now that we know the GCD is 8, Nancy can plant the flowers with 8 in each row. Let's calculate the number of rows for each flower type:
Number of tulip rows = 16 bulbs / 8 bulbs per row = 2 rows
Number of daffodil rows = 24 bulbs / 8 bulbs per row = 3 rows
Therefore, Nancy can plant 2 rows of tulips and 3 rows of daffodils, with 8 flowers in each row, making them the longest rows of flowers she can plant.