A car that costs 60 thousand reais is sold by a dealership that offers two payment options, both without down payment and without interest:
  • option 1: payment in $n$ equal installments;
  • option 2: payment in 6 more installments than in option 1 and, with this, the value of each installment becomes R\$ 500.00 less than the value of the installment in option 1. In both payment options, the total value to be paid for the car is the same.

What is the quantity $n$ of installments contained in payment option 1?
(A) 18
(B) 24
(C) 30
(D) 42
(E) 48
A car that costs 60 thousand reais is sold by a dealership that offers two payment options, both without down payment and without interest:
\begin{itemize}
  \item option 1: payment in $n$ equal installments;
  \item option 2: payment in 6 more installments than in option 1 and, with this, the value of each installment becomes R\$ 500.00 less than the value of the installment in option 1.\\
In both payment options, the total value to be paid for the car is the same.
\end{itemize}

What is the quantity $n$ of installments contained in payment option 1?\\
(A) 18\\
(B) 24\\
(C) 30\\
(D) 42\\
(E) 48