Question

In the last hour, Ellie observed 32 monarchs, 56 gulf fritillaries and 8 giant swallowtails visit her butterfly garden. 0 I If 480 butterflies visit her garden, how many can we expect will be giant swallowtails?

Answer 1

answer is 40, my answer got deleted

Answer 2

40

Explanation:

Developing an initial ratio of the number of giant swallowtails to the total number of observed butterflies, you can then use this ratio to form a proportion (equivalent ratios) to solve for the amount of giant swallowtails expected out of 480:

`(swallowtails)/(total)=(8)/(96)`

Since 32 + 56 + 8 = 96, then the original ratio is 8/96. To find the expected number out of 480:

`(8)/(96)=(x)/(480)`, where 'x' is the number of giant swallowtails

Cross-multiply: 96x = (8)(480) or 96x = 3840

Divide: 96x/96 = 3840/96

Solve: x = 40