well played.
i wanted to fill in the following hole, which might be problematic for some to follow (especially given the format here, which, to say the least, is not ideal for typing fractional expressions):
DaveGill wrote:
Average of 100 units of R's currency and 1% of I = [100+(1/100)I]/2
Average added to 2% of I = (2/100)I+[50+(1/200)I]
the quantity [100+(1/100)I]/2 in the first problem has been simplified to [50+(1/200)I], the right-hand part of the second expression.