Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Certainly! Let's determine the fraction of the flowers in the bouquet that are daffodils.
1. Calculate the total number of flowers in the bouquet:
The ratio of lilies to daffodils to marigolds is given as [tex]\(7:6:2\)[/tex]. To find the total number of flowers, we add these ratios together:
[tex]\[ \text{Total number of flowers} = 7 + 6 + 2 = 15 \][/tex]
2. Determine the fraction of the flowers that are daffodils:
The number of daffodils is given by the second number in the ratio, which is 6. Therefore, the fraction of the flowers that are daffodils is:
[tex]\[ \text{Fraction of daffodils} = \frac{6}{15} \][/tex]
3. Simplify the fraction:
To simplify the fraction [tex]\(\frac{6}{15}\)[/tex], we need to find the greatest common divisor (GCD) of 6 and 15. The GCD of 6 and 15 is 3. We then divide the numerator and the denominator by this GCD:
[tex]\[ \frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5} \][/tex]
Thus, the fraction of the flowers in the bouquet that are daffodils is [tex]\(\frac{2}{5}\)[/tex].
1. Calculate the total number of flowers in the bouquet:
The ratio of lilies to daffodils to marigolds is given as [tex]\(7:6:2\)[/tex]. To find the total number of flowers, we add these ratios together:
[tex]\[ \text{Total number of flowers} = 7 + 6 + 2 = 15 \][/tex]
2. Determine the fraction of the flowers that are daffodils:
The number of daffodils is given by the second number in the ratio, which is 6. Therefore, the fraction of the flowers that are daffodils is:
[tex]\[ \text{Fraction of daffodils} = \frac{6}{15} \][/tex]
3. Simplify the fraction:
To simplify the fraction [tex]\(\frac{6}{15}\)[/tex], we need to find the greatest common divisor (GCD) of 6 and 15. The GCD of 6 and 15 is 3. We then divide the numerator and the denominator by this GCD:
[tex]\[ \frac{6}{15} = \frac{6 \div 3}{15 \div 3} = \frac{2}{5} \][/tex]
Thus, the fraction of the flowers in the bouquet that are daffodils is [tex]\(\frac{2}{5}\)[/tex].
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.