I hope I helped you. I will be really happy, If you mark my answer as the brainliest.Your David.
Answer:
A. 8 daffodils.
B. 18 total flowers.
C. 15 carnations.
Step-by-step explanation:
We have been given a table of flowers used in medium sized decorations.
As proportion states that two quantities are equal, so we will use proportions to solve our given problems.
A. To find the number of daffodils in large sized decoration, we can set our proportion as:
[tex]\frac{\text{ Number of daffodils in large sized decoration}}{\text{Total number of flowers used for large sized decoration}}=\frac{\text{ Number of daffodils in medium sized decoration}}{\text{Total number of flowers used for small sized decoration}}[/tex]
Upon substituting our given values we will get,
[tex]\frac{\text{ Number of daffodils in large sized decoration}}{36}=\frac{2}{2+1+3+2+1}[/tex]
[tex]\frac{\text{ Number of daffodils in large sized decoration}}{36}=\frac{2}{9}[/tex]
[tex]\frac{\text{ Number of daffodils in large sized decoration}}{36}*36=\frac{2}{9}\times 36[/tex]
[tex]\text{ Number of daffodils in large sized decoration}=2\times4[/tex]
[tex]\text{ Number of daffodils in large sized decoration}=8[/tex]
Therefore, large decoration should have 8 daffodils.
B. To find the number of total flowers when 2 roses were used, we can set our proportion as:
[tex]\frac{\text{ Number of roses used in medium sized decoration}}{\text{Total number of flowers used for medium sized decoration}}=\frac{2\text{ Roses}}{\text{Total number of flowers used for the decoration}}[/tex]
[tex]\frac{1}{9}=\frac{2\text{ Roses}}{\text{Total number of flowers used for the decoration}}[/tex]
Upon cross multiplying our equation we will get,
[tex]\text{Total number of flowers used for the decoration}=2*9[/tex]
[tex]\text{Total number of flowers used for the decoration}=18[/tex]
Therefore, a total of 18 flowers were used in a decoration with 2 roses.
C. We can set an proportion as as:
[tex]\frac{\text{Number of carnations used}}{3}=\frac{10}{2}[/tex]
[tex]\frac{\text{Number of carnations used}}{3}*3=\frac{10}{2}*3[/tex]
[tex]\text{Number of carnations used}=5*3[/tex]
[tex]\text{Number of carnations used}=15[/tex]
Therefore, Pete should use 15 carnations.
