Question

jack popped some popcorn, but 3 of the 150 did not pop. Determine whether or not each popcorn snack below has the same ratio of unpopped to total kernals as Jack's popcorn

Answer 1

4:200 and 1:50 are the same and 2:75 is different

Answer 2

b and c

Explanation:

Jack popped some popcorn, but 3 of the 150 did not pop.

the ratio of the jack's popcorn =
`(3)/(150)`

=
`(1)/(50)`

= 1 : 50

We will go through all the other given ratio to find whether they are same ratio of Jack's or not.

a. 2 unpopped out of 75 kernels =
`(2)/(75)`

= 2 : 75 This is not a match

b. 2 unpopped out of 200 kernels =
`(4)/(200)`

=
`(1)/(50)`

= 1 : 50 This is same

c. 1 unpopped out of 50 kernels =
`(1)/(50)`

= 1 : 50 This is also same

So b and c has the same ratio of unpopped to total kernels as Jack's popcorn.