exam Maths Puzzle Numerical Ability

I need to set up a 3 by 3 system of linear equations and solve it for the following problem.

A movie theater charges $8 for adults, $4.50 for children, and $6 for senior cit

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exam Other Question

The length of a rectangle is 9 centimeters more than half the width. Find the length if they perimeter is 60 centimeters. I would really appreciate it if someone could help me solve this problem, write the equation of the line perpendicular to y=1/3x+5 and contains the point(1,4). The final equation has to be expressed in standard form.

Thank you,
Brina