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?

Question

Mathematics

Maya Stokes

6 September, 20:32

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?

+5

Answers (1)

Know the Answer?

Valery Mendez · Answer 1

20 months

Step-by-step explanation:

Let the number of months be denoted by x.

Then, we shall form two equations to represent the total cost from each dealer. Thus,

2500 + 150x is the cost of the motorcycle from the first dealer.

3000 + 125x is the cost of the motorcycle from the second dealer.

If the costs from the dealers are equal, then

2500 + 150x = 3000 + 125x

150x - 125x = 3000-2500

25x = 500

x = 500 / 25

x = 20 months