Question

This table tracks the food preference of 7th and 8th students.
Pizza Tacos Chicken Totals
7th graders: 24 120
8th graders: 35 46
Totals: 52 71
Constructing the two-way table, what is the total amount of people who like tacos?

Answer 1

To find the total number of students who like tacos, we can summarize the information provided in the table.

From the table, we see:

- For 7th graders, the number of students who like tacos is not provided, but we know the total number of 7th graders is 120.
- For 8th graders, the number of students who like tacos is 35.

To determine how many 7th graders like tacos, we can use the total number of 7th graders and the totals for each food preference.

First, we'll calculate the total number of students:

1. The total number of 7th graders is 120.
2. The total number of 8th graders can be calculated by using the total preferences. The totals provided for food preferences are:

- Pizza: 52
- Tacos: 71
- Chicken: 46

Since the total number of students is the sum of the totals for each food preference, we can calculate the total:

\[
\text{Total students} = \text{Total for Pizza} + \text{Total for Tacos} + \text{Total for Chicken} = 52 + 71 + 46 = 169
\]

Thus, the total number of 8th graders can be calculated as:

\[
\text{Total 8th graders} = \text{Total students} - \text{Total 7th graders} = 169 - 120 = 49
\]

Now we can find out how many 7th graders like tacos by using the total for tacos. The total for tacos is 71, which represents the sum of the tacos preference of both grades:

\[
\text{Total who like tacos} = \text{7th graders who like tacos} + \text{8th graders who like tacos}
\]

Let \( x \) be the number of 7th graders who like tacos.

So, we have:

\[
x + 35 = 71
\]

To solve for \( x \):

\[
x = 71 - 35 = 36
\]

Now we can find the total amount of people who like tacos:

\[
\text{Total who like tacos} = 36 + 35 = 71
\]

Thus, the total number of students who like tacos is **71**.