The number of birds on each of the islands X and Y remains constant from year to year; however, the birds migrate between islands. After one year, 20 percent of the birds on X have migrated to Y, and 15 percent of the birds on Y have migrated to X. ?If the total number of birds is 14, 000, how many birds are on island X????the options given area) 2,800.b) 6,000.c) 6,788.d) 7,212.e) 8,000.

Answer: Option 'b' is correct.Step-by-step explanation:Since we have given that Total number of birds = 14000Let the number of birds on X be 'x'.Let the number of birds on y be 14000-x After one year, 20 percent of the birds on X have migrated to Y, and 15 percent of the birds on Y have migrated to X.but The number of birds on each of the islands X and Y remains constant from year to year.So, the equation would be [tex]\dfrac{20}{100}x=\dfrac{15}{100}(14000-x)\\\\0.2x=0.15(14000-x)\\\\0.2x=2100-0.15x\\\\0.20x+0.15x=2100\\\\0.35x=2100\\\\x=\dfrac{2100}{0.35}=6000[/tex]Hence, there are 6000 birds on island X.Hence, Option 'b' is correct.