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kenya plans to make a down payment plus monthly payments in order to buy a motorcycle at one dealer she would pay 2500 dollars 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 and what would that amount be

Verified Answer :

GodricSalvatore

2500+150x=3000+125x
150x-125x=3000-2500
25x=500

x=500/25
x=20 mo
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2500+15020=3000+12520
5500=5500 total paid after each month.

Answer: The total amount paid ($5500) will be the same for both dealers after 20 months.

Step-by-step explanation:

Hi, to solve this problem we have to write an equation using the information given:

  • Dealer 1  

Down payment: $2500

Monthly payment: $150

  • Dealer 2

Down payment: $3000

Monthly payment: $125

So, for both dealers, we have to multiply the monthly payment by the number of months (x ) and add the down payment.

Mathematically speaking

  • Dealer 1 amount = $2500+ $150x
  • Dealer 2 amount = $3000 +$125x  

Then, we equal both equations because the total amount has to be the same:

$2500 +$150x =$3000 +$125x

Solving:

$150x - $125x = $3000-$2500

$25x = $500

x = $500/ $25 =20 months

The total amount paid will be the same for both dealers after 20 months.

To calculate the amount simply replace "x" for the 20 months in any equation.

$2500 +$150 x20m =

$2500 + $3000 = $5500

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