Question

Miguel and Bartholomew each have credit card debt. Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month. Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month. Let m represent The number of months and b represent the balance on the credit card account in dollars. Write a system of 2 equations to represent this situation. When will Miguel and Bartholomew owe the same amount of money?

Answer 1

Answer:

Miguel:

b = 2000 - 250m

Bartholomew:

b = 1500 - 150m

When m = 5

Step-by-step explanation:

Let

m = The number of months

b = balance on the credit card account in dollars.

Miguel owes $2000 and makes a monthly payments, reducing his debt by $250 per month.

Miguel:

b = 2000 - 250m

Bartholomew owes $1500 and makes monthly payments, reducing his debt by $150 per month

Bartholomew:

b = 1500 - 150m

When will Miguel and Bartholomew owe the same amount of money?

Miguel balance = Bartholomew balance

2000 - 250m = 1500 - 150m

2000 - 1500 = -150m + 250m

500 = 100m

m = 500/100

m = 5 months