Math / Numbers & Operations

QuestionSouth Africa broke the world record for largest pizza in 1990. It weighed 26833 pounds!
3 medium pizzas weigh about 2 pounds with toppings. About how many medium pizzas are equivalent to the world's largest pizza?
How many people do you think the world's largest pizza could feed? Submit

Studdy Solution

STEP 1

1. The world's largest pizza weighs $26833$ pounds.
2. $3$ medium pizzas weigh approximately $2$ pounds.
3. We need to determine how many medium pizzas are equivalent to the world's largest pizza.
4. We will estimate the number of people the world's largest pizza could feed based on a reasonable serving size.

STEP 2

1. Calculate the weight of one medium pizza.
2. Determine the number of medium pizzas equivalent to the world's largest pizza.
3. Estimate the number of people the world's largest pizza could feed.

STEP 3

Calculate the weight of one medium pizza.
Given that $3$ medium pizzas weigh $2$ pounds, the weight of one medium pizza is:
$\frac{2 \text{ pounds}}{3 \text{ medium pizzas}} = \frac{2}{3} \text{ pounds per medium pizza}$

STEP 4

Determine the number of medium pizzas equivalent to the world's largest pizza.
Let $x$ be the number of medium pizzas equivalent to the world's largest pizza.
Set up the equation:
$x \times \frac{2}{3} = 26833$
Solve for $x$ :
$x = \frac{26833}{\frac{2}{3}} = 26833 \times \frac{3}{2}$
$x = 26833 \times 1.5$
$x = 40249.5$
Approximately $40250$ medium pizzas are equivalent to the world's largest pizza.

STEP 5

Estimate the number of people the world's largest pizza could feed.
Assume a reasonable serving size for a pizza is about $\frac{1}{3}$ of a medium pizza per person.
The number of people the world's largest pizza could feed is:
$\text{Number of servings} = 40250 \times 3 = 120750$
Approximately $120750$ people could be fed by the world's largest pizza.
The world's largest pizza is equivalent to approximately $\boxed{40250}$ medium pizzas and could feed approximately $\boxed{120750}$ people.

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