Question

kumiko works at a shop that sells chicken sandwiches. she collects data about a random sample of chicken sandwiches sold at lunch and at dinner. the results are shown in the table. suppose 150 chicken sandwiches are sold at lunch. which is the best estimate of the number of those sandwiches that are spicy? 35 sandwiches 50 sandwiches 105 sandwiches 120 sandwiches

Explanation:

Step1: Calculate the proportion of spicy sandwiches at lunch

The total number of sandwiches sold at lunch in the sample is \(35 + 15=50\). The number of spicy sandwiches at lunch in the sample is \(35\). So the proportion of spicy sandwiches at lunch is \(\frac{35}{50}=\frac{7}{10}\)

Step2: Estimate the number of spicy sandwiches when 150 are sold at lunch

If the proportion is \(\frac{7}{10}\), and the total number of sandwiches sold at lunch is \(n = 150\), then the number of spicy sandwiches is \(150\times\frac{7}{10}\)

$$150\times\frac{7}{10}=\frac{150\times7}{10}=105$$

Answer:

105 sandwiches