Question

Rudolph borrowed $650 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $76 from his paycheck each week. Assuming Rudolph sticks to his promise, which of the following is not a possible scenario for the amount of debt Rudolph has remaining?
After 5 weeks, Rudolph is $285 in debt.
After 6 weeks, Rudolph is $185 in debt.
After 7 weeks, Rudolph is $100 in debt.
After 8 weeks, Rudolph is $40 in debt.

Answer 1

"a" is not possible because that would mean he paid out 650 - 285 = 365. That amount divided by 5 is 73 which contradicts the fact that he is paying out at least 76 a week.

Answer 2

He would have had to pay out at least 76 x 5 = 380 by week 5 but in scenario 1 he would have paid out too little.

Answer 3

In the other scenarios, he could have paid out at least 76 a week to get the amount remaining. For example, in the second scenario, he paid out 650 - 185 = 465.

6 x 76 = 456, so he could have paid out at least 76 a week here.

Answer 4

Making sense now?

Answer 5

yeah thanks.

Answer 6

Don't forget to hit "best response" if you like the help you are getting.

Answer 7

thx for the recognition! Good luck in your studies!