jayson buys a car and pays by installments.each installmentsis $567 per month.after 48 month, jayson owes $1250. what was the total price of the vehicle ?



Answer :

Let

T--------> the total price of the vehicle

x--------> amount paid

y--------> amount owed

we know that

the total cost of the vehicle is equal to the amount paid plus the amount owed

so

[tex] T=x+y [/tex]

Find the amount paid

[tex] x=567*48\\ x=27,216\ dollars [/tex]

Find the amount owed

[tex] y=1,250\ dollars [/tex]

Find the total cost of the vehicle

[tex] T=x+y\\ T=27,216+1,250\\ T=28,466\ dollars [/tex]

therefore

the answer is

the total price of the vehicle is [tex] 28,466\ dollars [/tex]

The total price of the vehicle is 28,466

  • Each installment monthly = $567
  • Amount owes by Jayson after 48 months = $1250

Further Explanation

To determine the total price of the vehicle, we can solve this question using the area model (please refer to the attachment below)

Firstly, let’s use the area model method to calculate the total price of the vehicle.

Therefore, we have:

567 x 48

= (500 + 60 + 7) x (40 + 8)

= (500 x 40) + (500 x 8) + (60 x 40) + (60 x 8) + (7 x 40) + (7 x 8)

= 20000 + 4000 + 2400 + 480 + 280 + 56

= 27216.

Recall, Jaycee still owes $1250 after 48 months; therefore we can derive the total price of the vehicle by adding the total money for the whole 48 months and the amount Jayson owes.

Therefore we have:

27216 + 1250

= 28466

Thus, the total price of the vehicle is $28,466

The area model refers to a rectangular diagram used in solving multiplication and division problems in mathematics.

LEARN MORE:

  • Jayson buys a car and pays by installments, each installments is $567 per month. after 48 months, jayson owes $1250. what was the total price of the vehicle brainly.com/question/721283
  • Area models with division  brainly.com/question/2369985
  • What's an area model  brainly.com/question/9704889

KEYWORDS:

  • jayson
  • area models
  • vehicle
  • $567 per month
  • jayson owes $1250
  • the total price of the vehicle
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