SOLUTION: In the US, the highest incidence of fraternal twins birth occurs among Asian-Americans, then African-Americans, then Caucasians. Of every 14600 births, the total number of fraterna
Algebra.Com
Question 230978: In the US, the highest incidence of fraternal twins birth occurs among Asian-Americans, then African-Americans, then Caucasians. Of every 14600 births, the total number of fraternal twins births for all three is 701, where there are 176 more for Asian-Americans than African-Americans and 218 more for Asian-Americans than Caucasians. Determine the number for each race.
Out of every 14600 births, there are _____ sets of Asian-Americans twins, _____ sets of African-American twins, and _____ sets of Caucasian twins.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In the US, the highest incidence of fraternal twins birth occurs among Asian-Americans, then African-Americans, then Caucasians. Of every 14600 births, the total number of fraternal twins births for all three is 701, where there are 176 more for Asian-Americans than African-Americans and 218 more for Asian-Americans than Caucasians. Determine the number for each race.
--------------------
As + Af + Ca = 701
As = Af +176
As = Ca + 218
------------------------
Substitute for Af and Ca to solve for As
Af = As-176
Ca = As-218
---
As + (As-176) + (As-218) = 701
3As - 394 = 701
3As = 1095
As = 365 (# of Asian-American twin births)
----
Since Af = As-176, Af = 365-176 = 189 (# of African-American twin births)
----------
Since Ca = As-218, Ca = 365-218 = 147 (# of Caucasian-American twin births)
----------------------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
Nationally, 60% of American own American cars, 29% of Americans own Asian cars, and the... (answered by CPhill)
12% of the popularion of the U.S. ( as of 1992) are African-American. If the U.S.... (answered by Mathtut)
Town A and Town B were located close to each other, and recently merged into one city.... (answered by ikleyn,greenestamps)
Combined there are 202 Asians, African, Europeans, and Americans in a village. The number (answered by CharlesG2)
If 11% of the 240 million adult Americans live in poverty, how many adult Americans live... (answered by lenny460)
A school board plans to merge two schools into one school of 1000 students in which 42%... (answered by rfer)
If 15% of the 250 million adult Americans live in poverty, how many adult Americans live... (answered by checkley79)
If 15% of the 250 million adult Americans live in poverty, how many adult Americans live... (answered by lenny460)
If 13% of the 240 million adult Americans live in poverty, how many adult Americans live... (answered by rfer)