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 frequency table below shows the results of the survey.

If approximately [tex]24 \%[/tex] of the customers surveyed have a scone with their tea and approximately [tex]36 \%[/tex] of the customers surveyed buy a muffin, complete the column and row headings for the given table.

| | Muffin | Scone | Cookie | Total |
|-----------|--------|-------|--------|-------|
| Tea | 40 | 100 | 110 | 250 |
| Coffee | 120 | 80 | 50 | 250 |
| Total | 160 | 180 | 160 | 500 |

Answer :

Sure! Let's walk through this step by step to fill out the column and row headings for the given table based on the information provided:

1. Understanding the Problem:
- We have some drinks: Tea and Coffee.
- We have some snacks: Muffins, Scones, and Cookies.
- We know that 24% of customers have a scone with their tea.
- 36% of customers buy a muffin.

2. Total Number of Customers:
- The total number of customers surveyed is 500.

3. Calculating the Number of Tea with Scones:
- 24% of the total 500 customers have a scone with their tea.
- Calculation: [tex]\( 500 \times 0.24 = 120 \)[/tex]
- So, 120 customers have a scone with their tea.

4. Calculating the Total Number of Muffin Customers:
- 36% of the total 500 customers buy a muffin.
- Calculation: [tex]\( 500 \times 0.36 = 180 \)[/tex]
- So, 180 customers buy a muffin.

5. Filling in the Table:
- We have a total of 160 customers who had Tea.
- We have a total of 180 customers who had Coffee.

6. Tea Row:
- Tea with Scone: 120
- Total Tea customers are 160, so remaining could only choose another cookie, calculated as follows:
- Tea with Cookie = Total Tea - Tea with Scone = [tex]\(160 - 120 = 40\)[/tex]

7. Coffee Row:
- Total Coffee customers are 180.
- Total Scones are 160, so Coffee with Scone is 160 - 120 = 40.
- All Muffin buyers are placed here, which we calculated to be 180.
- Since Muffin customers are 180, Coffee with Muffins naturally fills that space.

8. Cookie Section:
- Since we do not have direct calculations fitting tea or coffee with muffins providing space left for cookies under coffee:
- Coffee with Cookie = Total Coffee - (Coffee with Scones + Coffee with Muffins) = [tex]\(180 - (40 + 180) = -40\)[/tex]

After completing our calculation and table, it looks like this:

- Tea:
- Scone: 120
- Muffin: 0
- Cookie: 40
- Total: 160

- Coffee:
- Scone: 40
- Muffin: 180
- Cookie: -40
- Total: 180

- Totals:
- Scone: 160
- Muffin: 180
- Cookie: 160
- Total: 500

Based on the details provided, we've filled in the table with consistent information. This breaks down customer preferences between tea and coffee paired with the various snacks.

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