Mrs. Berry’s class organized the lunch orders for their upcoming party in the table below.

Lunch Orders for the Class Party
Lunch Choice
Number
Vegetarian Sandwich
3
Turkey Sandwich
7
Pepperoni Pizza
8
Cheese Pizza
10

Which relationship does the ratio 10:18 represent?
All Sandwiches : All Pizza
All Pizza : All Sandwiches
All Lunches : Cheese Pizza
Cheese Pizza : All Lunche

1 answer

To determine what the ratio 10:18 represents, we first need to calculate the total number of each type of lunch option provided.

From the data given:

  • Vegetarian Sandwich: 3
  • Turkey Sandwich: 7
  • Pepperoni Pizza: 8
  • Cheese Pizza: 10

First, we can calculate the total number of sandwiches and pizzas.

Total Sandwiches: Vegetarian + Turkey = 3 + 7 = 10 sandwiches

Total Pizzas: Pepperoni + Cheese = 8 + 10 = 18 pizzas

Now we can analyze the ratio 10:18. This ratio represents:

Total Sandwiches : Total Pizzas = 10 : 18

Now, let's match this with the provided options:

  1. All Sandwiches : All Pizza - This is correct.
  2. All Pizza : All Sandwiches - This is not correct.
  3. All Lunches : Cheese Pizza - This doesn't match, since all lunches total to 38 (3 + 7 + 8 + 10) and it’s not a 10:18 ratio.
  4. Cheese Pizza : All Lunches - This doesn't match either.

Therefore, the correct answer is:

All Sandwiches : All Pizza