steve saw 313 birds during a bird-watching trip to Yellowstone National park. he observes 15 more trumpeter swans than sandhill cranes. he saw twice as many mountain chickadees as ducky grouses. how many birds of each type did steve observe if he saw half as many trumpeter swans as ducky grouses

trumpeter swans = 41sandhill cranes = 26mountain chickadees = 164ducky grouses = 82

Step-by-step explanation:

Total number of birds = 313

trumpeter swans = ssandhill cranes = cmountain chickadees = mducky grouses = g

We have equations below based on given:

s = c + 15

m = 2g ⇒ m = 2(2s) = 4s ⇒ m = 4(c + 15)g = 2s ⇒ g = 2(c + 15)s + c + m + g = 313

Substituting m, g and s as above in the last equation and finding the value of c:

c + 15 + c + 2(c + 15) + 4(c + 15) = 3137(c + 15) + c = 3137c + c + 105 = 3138c = 313 - 1058c = 208c = 208/8c = 26

Then finding the other values:

s = 26 + 15 = 41g = 2s = 2*41 = 82m = 2g = 2*82 = 164