High School

Thank you for visiting A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

A local café serves tea, coffee, cookies, scones, and muffins. They recently gathered data about their customers who purchase both a drink and a snack. The given frequency table shows the results of the survey.

If approximately [tex]$24\%$[/tex] of the customers surveyed have a scone with their tea and approximately [tex]$30\%$[/tex] of the customers surveyed buy a muffin, complete the column and row headings for the given table.

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\cline{2-5}
\multicolumn{1}{c|}{} & \text{Scone} & \text{Cookie} & \text{Muffin} & \text{Total} \\
\hline
\text{Tea} & 40 & 100 & 110 & 250 \\
\hline
\text{Coffee} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{tabular}
\][/tex]

Answer :

To solve this problem, we need to understand the percentages and totals provided in the frequency table. Let's break it down step by step.

1. Understand the Given Percentages and Totals:
- We're told that approximately 24% of the customers have a scone with their tea.
- We're also told that about 30% of the customers buy a muffin.
- The total number of customers surveyed is 500.
- The total for the row where customers have a tea and a scone is 250.

2. Calculate the Number of Customers Having a Scone with Their Tea:
- To find how many customers have a scone with their tea, calculate 24% of the total customers.
- 24% of 500 customers is:
[tex]\[
\text{Customers with scone and tea} = 0.24 \times 500 = 120
\][/tex]

3. Calculate the Number of Customers Buying a Muffin:
- To find how many customers buy a muffin, calculate 30% of the total customers.
- 30% of 500 customers is:
[tex]\[
\text{Customers buying muffin} = 0.30 \times 500 = 150
\][/tex]

4. Calculate the Remaining Customers in the Tea and Scone Row:
- We know the total for the tea and scone row is 250.
- Subtract the number of customers having a scone with their tea (which we calculated as 120) from the total of 250 to find the remaining number of customers involved in other combinations (e.g., tea with cookies).
- This calculation is:
[tex]\[
\text{Remaining customers in tea and scone row} = 250 - 120 = 130
\][/tex]

So, the results are:
- 120 customers have a scone with their tea.
- 150 customers buy a muffin.
- 130 customers are accounted for in other combinations in the tea and scone row total.

Thank you for reading the article A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany