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

Question

puhnut1m · Accepted Answer

Let factory A works for x hours  factory B works for y hours  According to the question 12x+8y=48  6x+4y=24  126=84=4824  21=21=21  They are same equations  There are finite solution possible for this equation  6x+4y=2  ⇒3x+2y=12  xy062340  x≥0  y≥0  Three different solution is possible  x=0 x=2 x=4  y=6 y=3 y=0

zesponderyd · Accepted Answer

You actually wont

RizerMix · Accepted Answer

A. 48/12=4 24/6=4 Factory A should work 4 hours. NSK B. 48/8=6 24/4=6 Factory B should work 6 hours.