I put 100 points on this and will give brainliest. Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,350 down and $175 each month. At another dealer, she would pay $2,750 down and $150 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?

Step-by-step explanation:

let x = number of months

let dealer A = 2350 + 175x

let dealer B = 2750 + 150x

find:

After how many months would the total amount paid be the same for both dealers? What would that amount be?

dealer A = dealer B

2350 + 175x  = 2750 + 150x

175x - 150x = 2750 - 2350

25x = 400

x = 400/25

x = 16

plugin x=16 back into the equation

let dealer A = 2350 + 175x

                    = 2350 + 175(16)

                    = 5150

let dealer B = 2750 + 150x

                   = 2750 + 150(16)

                   = 5150

therefore,

1. it would take 16 months  pay the same for both dealers

2. the amount would be $5150

what is the original number? you forgot to add it.