SOLUTION: 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.
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-> SOLUTION: 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.
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Question 150808: 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?
.44b+.35g=231
b+g=615
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(2) how many boys and how many girls were in the survey.
Solve for g in the second equation
g=615-b
plug that in for g in the top equation
.44b+.35(615-b)=231
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