Question

at the food booth, there are 3 types of pizza to choose from. there are 26 1 4 cheese pizzas, 16 1 8 pepperoni pizzas and 9 3 8 pepper pizzas. how many pizzas are available for vegetarians?

Answer 1

To find the total number of pizzas available for vegetarians, you need to add the number of cheese pizzas and the number of pepperoni pizzas.

Number of cheese pizzas: (26)

Number of pepperoni pizzas: (16 + 9 = 25)

Total number of pizzas available for vegetarians: (26 + 25 = 51)

Step-by-step explanation:

Certainly! Let's break down the calculation step by step:

1. Identify Pizza Types:

The problem mentions three types of pizzas: cheese pizzas, pepperoni pizzas, and pepper pizzas.

2. Count Cheese Pizzas:

There are
`\(26\) \((1)/(4)\)` cheese pizzas. This means there are 26 pizzas of the first type.

3. Count Pepperoni Pizzas:

There are
`\(16\) \((1)/(8)\)` pepperoni pizzas and
`\(9\) \((3)/(8)\)` pepper pizzas. To find the total number of pepperoni pizzas, add these two: (16 + 9 = 25).

4. Calculate Total for Vegetarians:

To determine the total number of pizzas available for vegetarians, add the number of cheese pizzas to the number of pepperoni pizzas: (26 + 25 = 51).

Therefore, there are \(51\) pizzas available for vegetarians. This result accounts for both the cheese and pepperoni pizza options, making it a comprehensive count for those who prefer vegetarian choices at the food booth.

Answer 2

There are
`\(26 (1)/(4)\)` cheese pizzas
`\(16 (1)/(8)\)` pepperoni pizzas and
`\(9 (3)/(8)\)`pepper pizzas available at the food booth. To find the total number of pizzas suitable for vegetarians, we add the number of cheese pizzas and pepper pizzas:
`(26 (1)/(4) + 9 (3)/(8) = 35 (5)/(8)\)`. Therefore, there are
`\(35 (5)/(8)\)` pizzas available for vegetarians.

Step-by-step explanation:

In this scenario we have three types of pizzas: cheese pepperoni and pepper. To determine the total number of pizzas for vegetarians we need to focus on the cheese pizzas and the vegetarian-friendly pepper pizzas.

For cheese pizzas we have
`\(26 (1)/(4)\)`. To this we add the number of pepper pizzas
`\(9 (3)/(8)\)`. Adding these fractions requires a common denominator which is 8 in this case. Therefore
`\(26 (1)/(4) + 9 (3)/(8) = 35 (5)/(8)\)`. This final result represents the total number of pizzas available for vegetarians.

In summary by combining the quantities of cheese and pepper pizzas we find that
`\(35 (5)/(8)\)` pizzas are suitable for vegetarians. This calculation ensures a precise count of the vegetarian options at the food booth providing a clear answer to the initial question.