Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. at one dealer she would pay $2,500 down and $150 each month. at another dealer, she would pay $3,000 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?

Let us say that the total amount paid in the first dealer is P1 and the total amount paid to the second dealer is P2. So that:

P1 = 2500 + 150 t

P2 = 3000 + 125 t

Where t is the total number of months

Now we are asked when the total amount paid would be equal for the two dealers, this means P1 = P2, therefore equating the two:

2500 + 150 t = 3000 + 125 t

25 t = 500

t = 20 months

Therefore the total amount paid for both dealers would be equal after 20 months.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: