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algebra senior
Problem
Darren has borrowed clams from Ethan at a simple daily interest. Meanwhile, Fergie has borrowed clams from Gertie at a simple daily interest. In how many days will Darren and Fergie owe the same amounts, assuming that they will not make any repayments in that time period?
Solution
Let be the number of days that has passed. Darren's balance, in clams, is whereas Fergie's balance, in clams, is . Setting them equal to each other, we have Collecting like terms, we have so
Final answer
20\text{ days}