Question

1. You are looking to move out of your parent's house and into an apartment.
Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B
has a $1500 security deposit and costs $1175 each month. How many months, m, will it
take for the costs to be the same?

Answer 1

Answer: 20 months

Step-by-step explanation:

Let m represent the months and let y represent the amount after m months , then we have

y = 1000 + 1200m ................. equation 1

y = 1500 + 1175m ------------ equation 2

Equating the two equations  , we have

1500 + 1175m = 1000 + 1200m

collecting the like terms

1500 - 1000 = 1200m - 1175m

500 = 25m

Therefore m = 500/25

m = 20

Therefore it will take 20 months for the costs to be the same