Question

At a pizza eating contest Ben ate 2(1)/(4) pizzas in 20 minutes. Albert ate 1(1)/(3) times as many pizzas as Ben did in the same amount of time. How many pizzas did Albert eat in 20 minutes?

Answer 1

Albert ate 3 pizzas in 20 minutes, as he consumed 1(1/3) times the number of pizzas Ben did, with Ben having eaten 2(1/4) pizzas.

Step-by-step explanation:

The question asks how many pizzas Albert ate if he consumed 1(1/3) times as many pizzas as Ben did, knowing that Ben ate 2(1/4) pizzas in 20 minutes. First, we convert Ben's pizza consumption to an improper fraction, where 2(1/4) is equivalent to 9/4 pizzas. To find out how many pizzas Albert ate, we need to multiply 9/4 by 1(1/3), which in improper fraction form is 4/3.

Step-by-step calculation:

1. Convert Ben's pizza count: 2(1/4) = 2 + 1/4 = 8/4 + 1/4 = 9/4.
2. Convert the multiplier: 1(1/3) = 1 + 1/3 = 3/3 + 1/3 = 4/3.
3. Multiply Ben's pizzas by the multiplier: (9/4) × (4/3) = 9/1 × 1/3 = 9/3 = 3.

So, Albert ate 3 pizzas in 20 minutes.