For a cub scout meeting, the leader bought 4 pizzas, and 1 1/2 of the pizzas contained pepperoni. the scouts ate 5/6 of the pizzas that contained pepperoni. the remaining pizza that contains pepperoni represents what fraction of the 4 pizzas that the leader bought?

Hello there!

We have 4 pizzas, and 1 and 1/2 of them have pepperoni (and 2 and 1/2 do not have pepperoni).

The scouts ate 5/6 of the pizzas that contained pepperoni, this means that they ate 5/6 of the 1 and 1/2 pizza with pepperoni (that can be written as 1 + 1/2 = 3/2)

first we could write the initial fraction of pizza with pepperoni, this is the amount of pizza with pepperoni divided by the total amount of pizza:

(3/2)/4 = 3/8

and now, because the scouts eat 5/6, there is 1/6 left.

then we have (1/6)*(3/8) = 3/48 of the 4 original pizzas, but we could simplify it a bit by dividing both denominator and numerator by 3.

3/48 =  1/16

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐