Question

Your business has purchased 500 pizza pans, 60 kg of sauce, 100 kg of cheese, 2.5 kg of basil, 2.5 kg of oregano, 5 kg of yeast, and 200 kg of flour. You have as much water as you need. How many pizzas can you make?

Answer 1

Answer:

400 pizzas

Explanation:

The complete question would be:

You are going into the business of making pizzas. The following is the list of ingredients to make ONE pizza:

400 g flour           50 mL water

10 g yeast             120 g sauce

250 g cheese       5 g oregano

5 g basil

Your business has purchased 500 pizza pans, 60 kg of sauce, 100 kg of cheese, 2.5 kg of basil, 2.5 kg of oregano, 5 kg of yeast, and 200 kg of flour. You have as much water as you need. How many pizzas can you make?

You are going to have to make a couple of conversions to do this. Since everything you need is indicated in grams, we first need to convert everything you have in grams.

There are 1,000 g in 1 kg. So now we convert them all:

60 kg of sauce

$60kg \times \dfrac{1,000g}{1kg} = 60,000g$

100 kg of cheese

$100kg \times \dfrac{1,000g}{1kg} = 100,000g$

2.5 kg of basil

$2.5kg \times \dfrac{1,000g}{1kg} = 2,500g$

2.5 kg of oregano

$2.5kg \times \dfrac{1,000g}{1kg} = 2,500g$

5 kg of yeast

$5kg \times \dfrac{1,000g}{1kg} = 5,000g$

200 kg of flour

$200kg \times \dfrac{1,000g}{1kg} = 200,000g$

So now that we know what we have, we determine how many pizzas we can make with the amount of each ingredient. We get the ratio of each ingredient to one pizza to determine how many we can make:

Flour:

Available: 200,000g

Needed: 400g

$200,000g\ of\ flour\times\dfrac{1\ pizza}{400g\ of\ flour} = 500\ pizzas$

Yeast:

Available: 5,000g

Needed: 10g

$5,000g\ of\ yeast\times\dfrac{1\ pizza}{10g\ of\ yeast} = 500\ pizzas$

Cheese:

Available: 100,000g

Needed: 250g

$100,000g\ of\ cheese\times\dfrac{1\ pizza}{250g\ of\ cheese} = 400\ pizzas$

Basil:

Available: 2,500g

Needed: 5g

$2,500g\ of\ basil\times\dfrac{1\ pizza}{5g\ of\ yeast} = 500\ pizzas$

Sauce:

Available: 60,000g

Needed: 120g

$60,000g\ of\ sauce\times\dfrac{1\ pizza}{120g\ of\ sauce} = 500\ pizzas$

Oregano:

Available: 2,500g

Needed: 5g

$2,500g\ of\ oregano\times\dfrac{1\ pizza}{5g\ of\ oregano} = 500\ pizzas$

We do not need to consider water, because it will provide as many as we will need.

So here we see that all but one ingredient is able to yield 500 pizzas. Cheese is the only one that yields less than 500, specifically 400 only. This is your limiting ingredient and this ingredient determines how many pizzas you can make. Because when you run out of cheese, you can no longer make a pizza.