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?
+130071 We want to solve this
Principal + Interest = Principal + Interest
100 + 100 (.10)D = 150 + 150(.05)D
Where D is the number of days that will equalize the debt
Subtract 100 from both sides and simplify
10D = 50 + 7.5D subtract 7.5D from both sides
2.5D = 50 divide both sides by 2.5
D = 20 days
