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There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them?
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There are 75 roses and 45 lily flowers these are to be made into bouqu...
ANSWER
Since it is given that there are 75 rose and 45 lily flowers. Therefore,
Factorise 75 as follows:
$$75=3×5×5$$
Now, factorise 45 as follows:
$$45=3×3×5$$
We know that HCF is the highest common factor.
Since the common factor between the numbers 75 and 45 is 3×5=15.
Hence, the number of banquets that can be formed is 15 and total number of flowers are 5+3=8.
Since it is given that there are 75 rose and 45 lily flowers. Therefore,
Factorise 75 as follows:
$$75=3×5×5$$
Now, factorise 45 as follows:
$$45=3×3×5$$
We know that HCF is the highest common factor.
Since the common factor between the numbers 75 and 45 is 3×5=15.
Hence, the number of banquets that can be formed is 15 and total number of flowers are 5+3=8.
Community Answer
There are 75 roses and 45 lily flowers these are to be made into bouqu...
Problem: There are 75 roses and 45 lily flowers that need to be made into bouquets containing both types of flowers. All bouquets should contain the same number of flowers. Find the number of bouquets that can be formed and the number of flowers in each bouquet.
Solution:
Step 1: Find the common factor of 75 and 45
To find the number of bouquets that can be made, we need to find the common factor of 75 and 45. The common factor of 75 and 45 is 15.
Step 2: Divide the total number of flowers by the common factor
Now that we know the common factor, we can divide the total number of flowers by the common factor to find the number of bouquets that can be made.
Total number of flowers = 75 + 45 = 120
Number of bouquets = 120 / 15 = 8
Step 3: Find the number of flowers in each bouquet
To find the number of flowers in each bouquet, we simply divide the total number of flowers by the number of bouquets.
Number of flowers in each bouquet = 120 / 8 = 15
Step 4: Check that the number of flowers in each bouquet is correct
To check that our answer is correct, we can verify that each bouquet contains both types of flowers and that each bouquet contains the same number of flowers.
Each bouquet will contain:
- 15/3 = 5 roses
- 15/3 = 5 lilies
Therefore, each bouquet will contain 5 roses and 5 lilies, for a total of 10 flowers per bouquet. This confirms that our answer is correct.
Conclusion: There are a total of 8 bouquets that can be made, and each bouquet will contain 5 roses and 5 lilies, for a total of 10 flowers per bouquet.
Solution:
Step 1: Find the common factor of 75 and 45
To find the number of bouquets that can be made, we need to find the common factor of 75 and 45. The common factor of 75 and 45 is 15.
Step 2: Divide the total number of flowers by the common factor
Now that we know the common factor, we can divide the total number of flowers by the common factor to find the number of bouquets that can be made.
Total number of flowers = 75 + 45 = 120
Number of bouquets = 120 / 15 = 8
Step 3: Find the number of flowers in each bouquet
To find the number of flowers in each bouquet, we simply divide the total number of flowers by the number of bouquets.
Number of flowers in each bouquet = 120 / 8 = 15
Step 4: Check that the number of flowers in each bouquet is correct
To check that our answer is correct, we can verify that each bouquet contains both types of flowers and that each bouquet contains the same number of flowers.
Each bouquet will contain:
- 15/3 = 5 roses
- 15/3 = 5 lilies
Therefore, each bouquet will contain 5 roses and 5 lilies, for a total of 10 flowers per bouquet. This confirms that our answer is correct.
Conclusion: There are a total of 8 bouquets that can be made, and each bouquet will contain 5 roses and 5 lilies, for a total of 10 flowers per bouquet.
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There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them?
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There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them?.
There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are 75 roses and 45 lily flowers these are to be made into bouquets containing both the flowers all the bouquet should contain the same number of flowers find the number of bouquets that can be formed and no of flowers in them?.
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