Answer:
Since the ratio of turkey sandwiches to roast beef sandwiches is 5:3, we can use this ratio to find the number of roast beef sandwiches.
Let x be the number of roast beef sandwiches. Then, we have:
5/3 = 80/x
To solve for x, we can cross-multiply and simplify:
5x = 240
x = 48
Therefore, the number of roast beef sandwiches is 48.
To find the number of vegetarian sandwiches, we can subtract the number of turkey and roast beef sandwiches from the total number of sandwiches:
160 - 80 - 48 = 32
Therefore, the number of vegetarian sandwiches is 32.
The completed table is:
Sandwich names/number
Turkey-80
Roast beef-48
Vegetarian-32