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A local café serves tea, coffee, cookies, scones, and muffins. They recently gathered data about their customers who purchase both a drink and a pastry. The results of the survey are as follows:

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 given table.

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

Drag the labels "Cookie," "Tea," and "Coffee" to the correct positions in the table based on the information provided.

Answer :

To solve this problem, let's analyze the information given:

1. We know that 24% of the surveyed customers have a scone with their tea.

2. We also know that 36% of the surveyed customers buy muffins.

Looking at the provided table, let's break it down:

- We have a total of 250 customers who were specifically asked about scone purchases.
- In the table, the row labeled "Scone" shows 40 customers who have scones with their tea.

Now, to find the percentage of customers who have a scone with their tea, we would calculate it based on the total number of scone customers. According to the survey results, this percentage is 24%, but from the table:

[tex]\[ \text{Percentage of tea with scone} = \left(\frac{40}{250}\right) \times 100 = 16\% \][/tex]

This tells us that 16% of the scone customers have tea, which differs from the expected 24% mentioned, indicating some inconsistency that might come from differences in the survey or table population.

Next, we need to address the muffins:

- We know from the provided survey information that 36% of all surveyed customers buy muffins.
- We have a total of 250 customers in the muffin category.

So, to calculate the number of customers who buy muffins:

[tex]\[ \text{Number of muffin customers} = 0.36 \times 250 = 90 \][/tex]

This means 90 out of the 250 customers surveyed reported buying a muffin.

This breakdown provides insights into how the customers' preferences distribute according to the table, allowing us to see both the calculated values and the survey's information.

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Rewritten by : Jeany