+1245 Darren has borrowed 100 clams from Ethan at a 10% simple daily interest. Meanwhile, Fergie has borrowed 150 clams from Gertie at a 5% 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?
+118677 Darren has borrowed 100 clams from Ethan at a 10% simple daily interest. Meanwhile, Fergie has borrowed 150 clams from Gertie at a 5% 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?
After n days Darren will owe 100+(10% of 100)*n = 100+10n clams
After n days Fergie will owe 150+(5% of 150)*n = 150+ 7.5n clams
They will owe the same when these are equal
100+10n = 150+7.5n
2.5n = 50
n = 50/2.5
n = 200/10
n = 20 days
