at a restaurant 42 people had breakfast on saturday morning. 1/7 of the people ate eggs only. 2/3 of people ate both eggs and pancakes. the remaining people ate pancakes only. what is the fraction representing the number of people who ate pancakes only.

is answer 4/21 for people eating pancakes. 1/7 of 42 is 6 and 2/3 of 42 is 28. added together and got 34. then subtracted 34 from 42 and got 8. so would it be 8/42 and reduce which would be 4/21. not sure this is answer.

You are correct.

To find the fraction representing the number of people who ate pancakes only, we need to subtract the fractions of people who ate eggs only and both eggs and pancakes from the total number of people.

Let's start by finding the fraction of people who ate eggs only. We know that 1/7 of the people ate eggs only, so we can calculate this by multiplying 1/7 by the total number of people:

Number of people who ate eggs only = 1/7 * 42 = 6

Next, let's find the fraction of people who ate both eggs and pancakes. We know that 2/3 of the people ate both eggs and pancakes. Again, we can calculate this by multiplying 2/3 by the total number of people:

Number of people who ate both eggs and pancakes = 2/3 * 42 = 28

Now, let's subtract the number of people who ate eggs only and both eggs and pancakes from the total number of people to find the number of people who ate pancakes only:

Number of people who ate pancakes only = Total number of people - Number of people who ate eggs only - Number of people who ate both eggs and pancakes

Number of people who ate pancakes only = 42 - 6 - 28 = 8

Therefore, the fraction representing the number of people who ate pancakes only is 8/42.

What do you think?

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