Question 1199462
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(Corrected -- in my original response I had the two products switched....)<br>
A quick mental solution, if formal algebra is not required and your mental math is good....<br>
If all 89 units had been Product B, the total machine time would have been 89*5 = 445 hours.
The actual machine time was 81 hours, which is 36 hours more than that.
Since each Product A requires 1 more hour of machine time than each Product B, the number of Product A produced was 36/1 = 36<br>
ANSWER: 36 units of Product A, so 89-36 = 53 units of Product B<br>
CHECK: 53(5)+36(6) = 265+216 = 481<br>
This quick informal method is applicable to a large number of similar problems, like....<br>
75 bicycles and tricycles in a cycle shop with a total of 173 wheels; how many of each are there<br>
63 cows and chickens in a barnyard with a total of 160 legs; how many of each are there<br>
etc....<br>