Sara has 16 red flowers and 28 yellow flowers. She wants to make bouquets with the same number of each color flower in each Bouquet. What is the greatest number of bouquets she can make?
Q. Sara has 16 red flowers and 28 yellow flowers. She wants to make bouquets with the same number of each color flower in each Bouquet. What is the greatest number of bouquets she can make?
Identify Question: Identify what is being asked.We need to find the greatest number of bouquets Sara can make with an equal number of red and yellow flowers in each bouquet without any flowers left over.
Approach Determination: Determine the approach to solve the problem.To ensure each bouquet has the same number of red and yellow flowers with none left over, we need to find the greatest common factor (GCF) of the number of red and yellow flowers.
Red & Yellow Flowers: List the number of red and yellow flowers.Red flowers: 16Yellow flowers: 28
Factors of Red Flowers: Find the factors of the number of red flowers.Factors of 16: 1, 2, 4, 8, 16
Factors of Yellow Flowers: Find the factors of the number of yellow flowers.Factors of 28: 1, 2, 4, 7, 14, 28
Common Factors Identification: Identify the common factors of 16 and 28.Common factors: 1, 2, 4
Greatest Common Factor Determination: Determine the greatest common factor (GCF). The GCF of 16 and 28 is 4.
Conclusion: Conclude the greatest number of bouquets Sara can make.Sara can make 4 bouquets with an equal number of red and yellow flowers in each bouquet.