Sure, let's tackle each part of the question step by step.
### a) Complete the table.
First, we fill out the totals for each column and row. The provided information is:
[tex]\[
\begin{tabular}{|r|c|c|c|c|}
\cline { 2 - 5 } & Salad & Pasta & Pizza & Total \\
\hline Fruit & 6 & 3 & 3 & 12 \\
\hline Yogurt & 3 & 6 & 5 & 14 \\
\hline Ice cream & 1 & 4 & 14 & 19 \\
\hline Total & 10 & 13 & 22 & 45 \\
\hline
\end{tabular}
\][/tex]
Let's verify the totals for each row and column:
- Fruit row: 6 (Salad) + 3 (Pasta) + 3 (Pizza) = 12
- Yogurt row: 3 (Salad) + 6 (Pasta) + 5 (Pizza) = 14
- Ice cream row: 1 (Salad) + 4 (Pasta) + 14 (Pizza) = 19
The total number of people for all options is given as 45. Let's now sum up each type of meal:
- Salad column: 6 (Fruit) + 3 (Yogurt) + 1 (Ice cream) = 10
- Pasta column: 3 (Fruit) + 6 (Yogurt) + 4 (Ice cream) = 13
- Pizza column: 3 (Fruit) + 5 (Yogurt) + 14 (Ice cream) = 22
These totals match the provided information:
[tex]\[
\begin{tabular}{|r|c|c|c|c|}
\cline { 2 - 5 } & Salad & Pasta & Pizza & Total \\
\hline Fruit & 6 & 3 & 3 & 12 \\
\hline Yogurt & 3 & 6 & 5 & 14 \\
\hline Ice cream & 1 & 4 & 14 & 19 \\
\hline Total & 10 & 13 & 22 & 45 \\
\hline
\end{tabular}
\][/tex]
### b) How many people had pizza?
From the table, we see the total number of people who had pizza is given in the pizza column total.
Thus, the number of people who had pizza is 22.
### c) How many people chose salad or fruit?
To find the number of people who chose either a salad or a fruit-based option, we need to sum:
1. The number of people who had a salad (Salad total): 10
2. The number of people who had any fruit-based option: This includes fruit salad, fruit pasta, and fruit pizza. You need to sum up the numbers from the fruit row, which is 6 (salad) + 3 (pasta) + 3 (pizza) = 12.
Now, add these two totals together:
[tex]\[ 10 \, (\text{salad total}) + 12 \, (\text{total fruit participants}) = 22 \][/tex]
So, the number of people who chose salad or fruit is 22.
