Question

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 $3,050 down and $150 each month. after how many months would the total amount paid be the same for the both dealers? what would the amount be?

Answer 1

I get it. This question is asking when would the amount paid equal the same.

So if she paid $2350 down and $175 month it would look like this:

Mo 1: 2350 +175 = $2525 paid

Mo 2: 175 = $2700

Mo 3: 175 =$2875

Mo 4: 175 =$3050
(note it took 4 months to even equal the down payment made in the other situation)

Mo 5: $3225

Mo 6: $3400

Mo 7: $3575

Mo 8: 3750

Mo 9: 3925

Mo 10: $4100

If she paid $3,050 down and $150 month it would look like this:

Mo 1: 3050 + 150 = $3200

Mo 2: 150 = $3350

Mo 3: 150 =$3500

Mo 4: 150 =$3650

Mo 5: 150 =$3800

Mo 6: 150 =$3950

Mo 7: 150 =$4100

So on the first plan it took 10 months and on the second plan it took 7 but they reach the same amount of $4100.

Answer 2

At 28 months, amount would be $7,250

Explanation:

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.

Let the number of months of installments at dealer = x

total amount given to dealer A = (2,350 + 175x)

At other dealer she would pay $3,050 down and $150 each month.

total amount given to dealer A = (3,050 + 150x)

total amount paid be the same for the both dealers

2350 + 175x = 3,050 + 150x

2350 + 175x - 150x = 3050

2350 + 25x = 3050

25x = 3050 - 2350

25x = 700

x =
`(700)/(25)`

x = 28

It will take 28 months total amount paid be the same for the both dealers.

Total amount given to dealer A after 28 months

= 2,350 + (175×28) = $7,250

Total amount given to dealer B after 28 months

= 3,050 + (150×28) = $7,250