Answer:
In 12 months the amount paid to both dealerships will be equal.
The amount paid to each dealership = $3900
Step-by-step explanation:
Here,let x is the number of months when both the dealerships cost same.
<u>DEALERSHIP - A</u>
Fixed down payment = $1500
The installment for each day = $200
⇒ Installments of x days = x ( Installment for 1 day) = $200 (x) = 200 x
⇒ Total payment to Dealership
= Fixed amount + Installment amount in x days
= $1500 + 200 x
<u>DEALERSHIP - B</u>
Fixed down payment = $3000
The installment for each day = $75
⇒ Installments of x days = x ( Installment for 1 day) = $75 (x) = 75 x
⇒ Total payment to Dealership
= Fixed amount + Installment amount in x days
= $3000 + 75 x
Now, according to the question in x days, they both are paid same amount.
⇒$1500 + 200 x = $3000 + 75 x
or, 200 x - 75 x = 30000 - 1500
or, 125 x = 1500
⇒ x = 1500 /125 = 12
or x = 12
Amount paid = $ 3000 + 75 x
= 3000 + 75(12) = $3900
Hence, after 12 months the amount paid to both dealerships will be equal.
The amount paid to each dealership = $3900
