Question

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?

Answer 1

Answer:

1.  16 months

2.  $5,150

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

Answer 2

Answer:

After 16 months, the total amount paid would be the same for both dealers. This would be $5150.

Step-by-step explanation:

Let x = Number of months

Let y = Amount paid in $

y = 175x + 2350 (Dealer 1)

y = 150x + 2750 (Dealer 2)

175x + 2350 = 150x + 2750 (Make both equal and solve for x)

175x -150x = 2750 -2350

25x = 400

x = 16

After 16 months the total amount would be the same.

Now plug in 16 for x in any equation...

y = 150(16) + 2750

y = 2400 + 2750

y = 5150