Question
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
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
Answers
GPT-4o mini
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**
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**