+0  
 
0
522
1
avatar

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?

 Feb 22, 2018
 #1
avatar+128079 
+1

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

 

 

 

cool cool cool

 Feb 22, 2018

4 Online Users

avatar
avatar