Question

Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle.

At one dealer she would pay $2,450 down and $200 each month. At another dealer, she
would pay $2,950 down and $175 each month. After how many months would the total
amount paid be the same for both dealers? What would that amount be?

Answer 1

it would take 20 months and it would cost $6450

Explanation:

in order to solve this question we need to equate the amount at each dealer against one another

Find the number of months

make the months as an unknown variable (x)

2450 + 200x = 2950 + 175x

now make x the subject of formula

200x - 175x = 2950 - 2450

25x = 500

x = 500/25

x = 20

the amount would be the same in 20 months

to find the amount it would be after those months

replace x with 20

2450 + 200 (20) = 6450

$6450