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?

(1 point)
Responses

109
109

71
71

106
106

35
35

1 answer

To find the total amount of people who like tacos, we need to look at the given two-way table.

From the table:

  • 7th graders who like tacos: Unknown (let's call it \(x\))
  • 8th graders who like tacos: 35

We also know from the total row that:

  • Total who like tacos (7th graders + 8th graders) = Total Tacos = 71

So we can set up the equation:

\[ x + 35 = 71 \]

To solve for \(x\):

\[ x = 71 - 35 \ x = 36 \]

Now, adding the number of 7th and 8th graders who like tacos:

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

Thus, the total amount of people who like tacos is 71.

The correct response is 71.