in a nature conservatory, the ratio of butterflies to total number of flying insects is 36 to 100. there are 450 total flying insects.
(a) create a table for how many butterflies there are for 1, 50, and 100 flying insects. show your work.

If 36 butterflies out of 100 insects, that means 36%  of all of the insects are butterflies. Find the percentage by multiplying: .36 x 450 = 162. So there are 162 butterflies out of 450 flying insects. Divide to see how much more flying insects there are than butterflies. 450/162 = 2.777777777777778 ~ 2.78
Now for the table, all we have to do is multiply the amount of butterflies by 2.78 to find the correct ratio.

1 Butterfly ~ 2.78 Flying Insects
50 Butterflies ~ 139 Flying Insects
100 Butterflies ~ 278 Flying Insects