Question

of the 350 people at a convention, 80% had a regular pass while the rest had a premium pass. There were 184 people who stayed for lunch, while the rest did not. Of the people who stayed for lunch, 52 had a premium pass. Complete it in two-way table form)

Answer 1

Answer: Total 218 280 498

Explanation:

To complete the two-way table, we need to determine the number of people with regular passes who stayed for lunch.

We know that 80% of the 350 people at the convention had a regular pass. To find the number of people with regular passes, we can multiply 350 by 0.8:

350 * 0.8 = 280

So, there were 280 people with regular passes.

Now, we know that there were 184 people who stayed for lunch. Of these, 52 had a premium pass. To find the number of people with regular passes who stayed for lunch, we can subtract 52 from 184:

184 - 52 = 132

Therefore, there were 132 people with regular passes who stayed for lunch.

Using this information, we can complete the two-way table:

```

Premium Pass Regular Pass Total

Stayed 52 132 184

Not Stayed ? ? ?

Total ? ? 350

```

To find the number of people who had a premium pass but did not stay for lunch, we subtract the number of people who stayed for lunch from the total number of people with a premium pass:

350 - 184 = 166

Therefore, there were 166 people with a premium pass who did not stay for lunch.

To find the number of people with regular passes who did not stay for lunch, we subtract the number of people with regular passes who stayed for lunch from the total number of people with regular passes:

280 - 132 = 148

Therefore, there were 148 people with regular passes who did not stay for lunch.

Using this information, we can complete the two-way table:

Premium Pass Regular Pass Total

Stayed 52 132 184

Not Stayed 166 148 314

Total 218 280 498