Question

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2450 down and $150 each month. At another dealer, she would pay $3,250 down and $125 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?

Answer 1

Explanation:

Let x be be the number of months it takes for both dealers to be paid the same amount.

Then $2450 + $150x = $3250 + $125x.

=> $25x = $800, x = 32.

Hence it takes 32 months, and the amount will be $2450 + $150(32) = $7250.