A florist has 7 tulips and 14 carnations. If the florist wants to create identical bouquets without any leftover flowers, what is the greatest number of bouquets the florist can make?
Question
A florist has 7 tulips and 14 carnations. If the florist wants to create identical bouquets without any leftover flowers, what is the greatest number of bouquets the florist can make?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of tulips and carnations. The GCD is the largest number that can divide both numbers without leaving a remainder.
Step 1: List the divisors of each number. The divisors of 7 are: 1, 7. The divisors of 14 are: 1, 2, 7, 14.
Step 2: Identify the common divisors. The common divisors are: 1, 7.
Step 3: The greatest common divisor is the largest of these, which is 7.
Therefore, the florist can make 7 identical bouquets without any leftover flowers.
Similar Questions
At the florist, tulips are put into bunches of 21 flowers.108 tulips are delivered to the shop. How many bunches of flowers can be made?Give your answer as a mixed number in its simplest form.
Matthew is creating lollipop bouquets using 15 cherry lollipops and 33 orange lollipops. He wants each bouquet to be identical, with no lollipops left over. What is the greatest number of lollipop bouquets Matthew can create?
3) Julia is creating a bouquet of flowers for a friend. She can choose from six roses, eight daisies, four carnations, one violet, andone orchid. How many different bouquets can she make? [A3 marks]
Michelle owns a flower shop and uses 17 inches of ribbon to make a bouquet of flowers. She has a roll of ribbon that is 120 yards long.How many complete bouquets can she make with 5 rolls of ribbon? (Assuming no waste) Answer to the nearest WHOLE number
Breanne cut 350 fresh flowers to make bouquets. If she wants to place an equal number of flowers in each bouquet, how many groups should she use? A. 2 groups B. 4 groups C. 6 groups D. 9 groups
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.