Constructing the two-way table, what is the
total amount of people who like tacos?
7th graders: 24 pizzas, (blank) tacos, (blank) chicken, total is 120'
8th graders: (blank) pizzas, 35 tacos, 46 chicken, total (blank)
Totals: 51 pizza, (blank) tacos, 71 chicken, total is (blank)
To find the total amount of people who like tacos, we need to fill in the blank spaces in the table.
7th graders: 24 pizzas, (x) tacos, (y) chicken, total is 120
8th graders: (z) pizzas, 35 tacos, 46 chicken, total (blank)
Totals: 51 pizza, (x+y) tacos, 71 chicken, total is (120 + (blank))
From the information given, we can construct the equations:
24 + x + y = 120
z + 35 + 46 = total for 8th graders
51 + z = total for pizzas
x + y + 35 = total for tacos
71 + y = total for chicken
Solving these equations will give us the values for x (tacos liked by 7th graders) and the total amount of people who like tacos.