Hi

the questions Sets up 2 Equations with 2 unknowns

Let x and y be the number of rolls of cloth A and cloth B respectively

 Question states***

   75x + 55y = 3340min    |dyeing time  total

   50x + 30y = 2040min    |drying time total



    x = 24, number of rolls of cloth A

and y = 28, number or rolls of cloth B



CHECKING our Answer***

  75*24 + 55*28 = 1800 + 1540 = 3340min 

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
 Set the problem up like this.

Let x = the number of rolls of cloth A

Let y = the number of rolls of cloth B

For the dyeing, we can write the following equation:

75x + 55y = 3340 (1)

For the drying, we can write the following equation:

50x + 30y = 2040 (2)

Now solve for x and y:

Multiply (2) by 3/2 and subtract from (1)

10y = 280 -> y = 28

Subsitute into (2) -> 50x + 30(28) = 2040 -> x = 24

Ans: 24 rolls of cloth A, 28 rolls of cloth B 

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