Answer:Number of 8 cent stamp =9
Number of 41 cent stamp = 5
Explanation: Explanation: Let x= number of 41 cent stamp
Let y= number of 8 cent stamp
Total postage fee =$2. 77 = 277cent
Combining both, we have:
41x + 8y = 277
We can vary or iterate the value of x using different integer values to find y(must also be an integer) as the number of stamps can't be decimal.
If y=1
41x + 8 = 277, x =6.56(not possible)
If y=2
41x + 16 = 277, x =6.365(impossible)
If y=3
41x + 24 = 277, x =6.17(impossible)
If y=4
41x + 32 = 277, x=5.98(impossible)
If y=5
41x + 40 = 277, x=5.78(impossible)
If y=6
41x + 48 = 277, x= 5.58(impossible)
If y=7
41x + 56 = 277, x=5.39(impossible)
If y=8
41x +64 = 277, x=5.20(impossible)
If y=9
41x + 72 = 277, x=5.
At this point its safe to conclude that y = 9, x = 5
Number of 8 cent stamp = 9
Number of 41 cent stamp = 5