Answer:
40
Step-by-step 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:
[tex]\frac{swallowtails}{total}=\frac{8}{96}[/tex]
Since 32 + 56 + 8 = 96, then the original ratio is 8/96. To find the expected number out of 480:
[tex]\frac{8}{96}=\frac{x}{480}[/tex], where 'x' is the number of giant swallowtails
Cross-multiply: 96x = (8)(480) or 96x = 3840
Divide: 96x/96 = 3840/96
Solve: x = 40
