Question 426658
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