Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at another dealer, she would pay $2500 down and $150 each month. at another dealer she would pay $3000 down and $125 each month. after how many months would the total amount paid be the same for both dealers? what would be amount be?

Let the number of months be x.

For Dealer 1:
After x months, amount paid = 150*x = 150x.
Total = 2500 + 150x

For Dealer 2:
After x months, amount paid = 125*x = 125x.
Total = 3000 + 125x

When they will be equal:

2500 + 150x = 3000 + 125x

150x - 125x = 3000 - 2500

25x = 500

x = 500 / 25

x = 20.

So after 20 months.

Amount = 2500 + 150x,   x = 20

2500 + 150*20 = 5500

So after 20 months the amount for both dealers would be the same. And the amount the same is $5500.