a restaurant serves three types of omelettes. surveys were taken of the last two days of orders and are…

a restaurant serves three types of omelettes. surveys were taken of the last two days of orders and are displayed in the table below. approximately 200 omelettes are served each day. what is the average number of ham and cheese omelettes served each day?\n\n| |omelette survey| |\n|--|--|--|--|\n| |sample 1|sample 2|\n|ham and cheese|7|ham and cheese|11|\n|mexican|4|mexican|2|\n|vegetarian|1|vegetarian|5|\n\n93\n120\n127\n147

a restaurant serves three types of omelettes. surveys were taken of the last two days of orders and are displayed in the table below. approximately 200 omelettes are served each day. what is the average number of ham and cheese omelettes served each day?\n\n| |omelette survey| |\n|--|--|--|--|\n| |sample 1|sample 2|\n|ham and cheese|7|ham and cheese|11|\n|mexican|4|mexican|2|\n|vegetarian|1|vegetarian|5|\n\n93\n120\n127\n147

Answer

Explanation:

Step1: Calculate total number of ham - and - cheese omelettes in samples

Add the number of ham - and - cheese omelettes in Sample 1 and Sample 2. $7 + 11=18$.

Step2: Calculate total number of omelettes in samples

Add all the numbers in the table for both samples. $(7 + 4+1)+(11 + 2+5)=30$.

Step3: Calculate proportion of ham - and - cheese omelettes in samples

The proportion $p$ of ham - and - cheese omelettes in the samples is $\frac{18}{30}=0.6$.

Step4: Estimate number of ham - and - cheese omelettes per day

Since about 200 omelettes are served each day, multiply the proportion by 200. $0.6\times200 = 120$.

Answer:

120