A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party, 3 1/3 small bags and 2 1/4 large bags were left.

a) How many small bags would the leftover popcorn fill?

b) How many large bags would the leftover popcorn fill?

Please help me fast, also show all work and steps please:)

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c