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3. Suppose that factory A produces 12 tables and 6 chairs per hour, while factory B produces 8 tables and 4 chairs per hour.

 

3. Suppose that factory A produces 12 tables and 6 chairs per hour, while factory B produces 8 tables and 4 chairs per hour. How many hours should each factory work to produce 48 tables and 24 chairs? How many different solutions are there to this problem? 4. (Tucker 1.1.23) Jack can complete 3 chemistry problems and 6 math problems in an hour, while Paula can complete 4 chemistry problems and 7 math problems in an hour; together they need to solve 11 chemistry problems and 17 math problems. Set up and solve a system of two linear equations to determine how long Jack and Paula should each work to complete the problems. Discuss whether your answer makes sense. If not, propose a better solution.

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