Question

In a pizza restaurant, three chefs take 8 hours to make 576 pizzas. How many chefs will be required to make 1728 pizzas in 8 hours?​

a) 3 chefs
b) 6 chefs
c) 9 chefs
d) 12 chefs

Answer 1

To find out how many chefs will be required to make 1728 pizzas in 8 hours, we can set up a proportion: 3 chefs / 576 pizzas = x chefs / 1728 pizzas. Solving this proportion, we find that 9 chefs will be required.

Step-by-step explanation:

To solve this problem, we can use the concept of direct variation to find the relationship between the number of pizzas and the number of chefs.

From the given information, we know that 3 chefs take 8 hours to make 576 pizzas. This can be represented as:

3 chefs = 8 hours to make 576 pizzas

To find out how many chefs will be required to make 1728 pizzas in 8 hours, we can set up a proportion:

3 chefs / 576 pizzas = x chefs / 1728 pizzas

Cross multiplying, we get:

576x = 1728 * 3

Simplifying further:

576x = 5184

Dividing both sides by 576:

x = 5184 / 576

x = 9

Therefore,

The number of chefs required to make 1728 pizzas in 8 hours is

9 chefs

.