Suppose that factory a produces 12 tables and 6 chairs an hour while factory b produces 8 tables and 4 chairs and hour. how many hours should each factory work to produce 48 tables and 24 chairs? how many different solutions are there to this problem?

Factory A should work for 4 hours, while factory B should work for 6 hours to produce 48 tables and 24 chairs

The rates of both factories are given as:

Factory A = 12 tables and 6 chairs in an hour

Factory B = 8 tables and 4 chairs in an hour

To produce 48 tables and 24 chairs, we make use of the following equation

Where h represents time (in hours)

So, we have:

Factory A

Factory A

Hence, factory A should work for 4 hours, while factory B should work for 6 hours to produce 48 tables and 24 chairs

Read more about unit rates at:

link

step-by-step explanation:

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