Shalane owns a flower nursery in a small town. She took an inventory of the number and types of flowers she sold this month.

\begin{tabular}{|l|l|}
\hline Type of Flower & Number of Flowers Sold This Month \\
\hline Rose & 60 \\
\hline Carnation & 43 \\
\hline Bird of Paradise & 24 \\
\hline Hyacinth & 14 \\
\hline Lilac & 18 \\
\hline Peony & 35 \\
\hline Sunflower & 6 \\
\hline
\end{tabular}

Shalane will order 2,000 flowers for a state-wide flower exhibition next month. Based on the number of flowers she sold last month, determine how many hyacinths Shalane should anticipate selling. Show your work.



Answer :

To determine how many hyacinths Shalane should anticipate selling at the state-wide flower exhibition based on her sales data from last month, we will follow a structured approach:

1. Calculate the total number of flowers sold last month:
- Sum the number of each type of flower sold:
- Rose: 60
- Carnation: 43
- Bird of Paradise: 24
- Hyacinth: 14
- Lilac: 18
- Peony: 35
- Sunflower: 6
- Total = 60 + 43 + 24 + 14 + 18 + 35 + 6 = 200 flowers

2. Determine the proportion of hyacinths sold last month relative to the total number of flowers sold:
- Number of hyacinths sold = 14
- Total flowers sold = 200
- Proportion of hyacinths = Number of hyacinths / Total flowers sold = 14 / 200 = 0.07 (or 7%)

3. Estimate the number of hyacinths to be ordered for the exhibition:
- Shalane will order 2,000 flowers for the exhibition.
- Since the proportion of hyacinths sold last month was 0.07, we apply this proportion to the 2,000 flowers to estimate the number of hyacinths.
- Estimate of hyacinths = Proportion of hyacinths Total flowers ordered = 0.07 2000 = 140 hyacinths

Therefore, Shalane should anticipate ordering approximately 140 hyacinths for the state-wide flower exhibition based on her sales data from last month.