Question 151225
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 
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(2) Use determinants and Cramer’s rule to determine how many boys and how many girls were in the survey.
b = 175
g = 440
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(3) Answer the question in (2) by using inverse matrices.---
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(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.
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Cheers,
Stan H.