Suppose that factory A produces 12 tables and 6 chairs an hour while factory B...

Judith McQueen

Judith McQueen

Answered

2021-12-16

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?

Answer & Explanation

puhnut1m

puhnut1m

Expert

2021-12-17Added 33 answers

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
x0
y0
Three different solution is possible
x=0 x=2 x=4
y=6 y=3 y=0
zesponderyd

zesponderyd

Expert

2021-12-18Added 42 answers

You actually wont
RizerMix

RizerMix

Expert

2021-12-29Added 437 answers

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.

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