Robert borrowed $750 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $67 from his paycheck each week. Assuming Robert sticks to his promise, which of the following is not a possible scenario for the amount of debt Robert has remaining?

Question

anonymous · Answer

following...

anonymous · Answer

After 5 weeks, Robert is $150 in debt. 

 After 6 weeks, Robert is $200 in debt. 

 After 7 weeks, Robert is $250 in debt. 

 After 8 weeks, Robert is $300 in debt

callisto · Answer

Consider the minimum payment
Week      interest paid           loan (at most) (x = total loan - interest paid)
1              67                            750 - 67  = 683
2              67 x 2 = 134            750 - 134 = 616
3              67 x 3 = 201            750 - 201 = 549         
4              67 x 4 = 268            750 - 268 = 482
5              67 x 5 = 335            750 - 335 = 415
6              67 x 6 = 402            750 - 402 = 345
7              67 x 7 = 469            750 - 469 = 281
8              67 x 8 = 536            750 - 536 = 214

The amount of the loan can be less than x as he may pay more than 67 in any weeks. However, it cannot be greater than x as he keeps his promise to pay the minimum amount of 67. Can you get the answer now?

anonymous · Answer

Answer above is perfect.

callisto · Answer

Thanks!!!1

anonymous · Answer

IT SEEMS LIKE 8 WEEKS IS THE ANSWER.