Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to pay half the amount he paid the p
Mathematics
kayysmooth17
Question
Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to pay half the amount he paid the previous month. Assuming Austin does not charge any interest, how much should Aaron pay the first month to repay the money as scheduled?
2 Answer

1. User Answers LogiexKun
This can be expressed by,
80 + 40 + 20 + 10 = 150 
2. User Answers nabila3110
Assume first month's price is x
The Equation :
x+1/2x+1/4x+1/8x = 150
Multiply every term by 8 to get whole numbers
8x+4x+2x+x = 1200
15x = 1200
x = 80