Zuhalie needs to rent a racing bike. She is choosing between two rental options. Option A is $50 per month with a $200 down payment. Option B is $25 per month with a down payment of $500. How many months would Zuhalie have to rent the bikes in order for the total cost of each option to be the same?

Step-by-step explanation:

Given:

Option a:

Down payment, Da = $200

Monthly fee, Ma = $50

Option B:

Down payment, Db = $500

Monthly fee, Mb = $25

Monthly fee, M = payment, P/number of months, n

Total cost, Pc = down payment, D + payment, P

Equating both options we have:

500 + 25 × n = 200 + 50 × n

500 + 25n = 200 + 50 n

25n = 300

n = 300/25

= 12 months

At 12 months, both payment options will be the same.