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Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works. If the number of pizzas varies directly with minutes, how many pizzas can Allan make in 3 hours? Please Help

Respuesta :

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours