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
[tex]h = \frac{Produce}{Rate}[/tex]
Where h represents time (in hours)
So, we have:
Factory A
[tex]h = \frac{48\ tables, 24\ chairs}{12\ tables, 6\ chairs}[/tex]
[tex]h = 4[/tex]
Factory A
[tex]h = \frac{48\ tables, 24\ chairs}{8\ tables, 4\ chairs}[/tex]
[tex]h = 6[/tex]
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:
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