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

Question

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 Lunches

Answer 1

To determine which relationship the ratio 10:18 represents, let's first find the totals for the different categories from the lunch orders.

• Total sandwiches (Vegetarian + Turkey):

  • Vegetarian Sandwich: 3
  • Turkey Sandwich: 7
  • Total Sandwiches = 3 + 7 = 10

• Total pizzas (Pepperoni + Cheese):

  • Pepperoni Pizza: 8
  • Cheese Pizza: 10
  • Total Pizzas = 8 + 10 = 18

Now, we can analyze the options provided with the context of our found totals:

1. All Sandwiches : All Pizza

   • Total Sandwiches: 10
   • Total Pizzas: 18
   • This gives the ratio 10:18.

2. All Pizza : All Sandwiches

   • This would mean 18:10 - not our ratio.

3. All Lunches : Cheese Pizza

   • Total Lunches = Total Sandwiches + Total Pizzas = 10 + 18 = 28
   • This would be 28:10 - not our ratio.

4. Cheese Pizza : All Lunches

   • This would be 10:28 - not our ratio.

So the correct option for the ratio 10:18 is:

All Sandwiches : All Pizza.