Question
During a back-to-school shopping trip, a group of friends spent $245.86 on 14 shirts and pants. Each shirt cost $11.99. Each pair of pants cost $24.99. How many shirts and pairs of pants did the group buy?
a) Write a system of equations to model the information in the problem.
b) Study the system. Explain, without solving, which method you think would be most efficient for solving the system: substitution, elimination, graphing, or making a table. Explain why the other methods would be less efficient.
c) How could you simplify the numbers used in this system to simplify the system? Does this new system change your answers to part (b)? Explain.
a) Write a system of equations to model the information in the problem.
b) Study the system. Explain, without solving, which method you think would be most efficient for solving the system: substitution, elimination, graphing, or making a table. Explain why the other methods would be less efficient.
c) How could you simplify the numbers used in this system to simplify the system? Does this new system change your answers to part (b)? Explain.
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