SOLUTION: Hello, Can someone please help me with this math problem it is from the college algebra math book. Thank you, Droxygirl1001 Problem: A survey of 615 teenagers found th

Question 151225This question is from textbook College Algebra
: Hello,
Can someone please help me with this math problem it is from the college algebra math book.
Thank you,
Droxygirl1001

Problem: A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.
(1) Set up a system of equations to model this scenario.
(2) Use determinants and Cramer�s rule to determine how many boys and how many girls were in the survey.
(3) Answer the question in (2) by using inverse matrices.
(4) Compare the two methods. When might one method be better than another method for solving a system?
This question is from textbook College Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A survey of 615 teenagers found that 44% of the boys and 35% of the girls would like to be taller. Altogether, 231 teenagers in the survey wished they were taller.
(1) Set up a system of equations to model this scenario.
Let the number of boys be "b":
Let the number of girls be "g":
EQUATION:
b + g = 615
0.44b + 0.35g = 231
----------------------------
(2) Use determinants and Cramer�s rule to determine how many boys and how many girls were in the survey.
b = 175
g = 440
-------------------------
(3) Answer the question in (2) by using inverse matrices.---
-------------------------------
(4) Compare the two methods. When might one method be better than another method for solving a system?
Using the inverse method is much faster.
===============================
Cheers,
Stan H.

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