how many did Julie buy in all?

Question

Julie bought donuts for a party 1/6 of the donuts were jelly, 1/3 we’re cinnamon, and 5/6 of the remainder were glazed, there were 20 glazed in all how many did Julie buy

Answer 1

1/6 + 1/3 = 1/6 + 2/6 = 3/6 = 1/2

 

So half of the donuts are jelly or cinnamon.

 

 

5/6 of the remaining 1/2 is 5/6 * 1/2 = 5/12

 

So 5/12 of the donuts are glazed.

5/12 * ???? = 20

 ???? = 20*12/5 = 240/5 = 48

 

So there are 48 donuts

 

1/6 of 48 is   8 jelly donuts

1/3 of 48 is 16 cinnamon donuts

That's half of them so far...

 

5/6 of 24 is 20 glazed.

 

  8 jelly

16 cinnamon

20 glazed

  4 of some other type

 

 

CHECK:   1/6 + 1/3 + 5/12 = 2/12 + 4/12 + 5/12 = 11/12

 

              11/12 of 48 donuts are account for....

 

            1/12 is not, and 1/12 x 48 = 48/12 = 4 donuts of some other type

 

She bought 48 donuts which is 4 dozen