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Julia purchased a car on an installment plan. She made a down payment

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Bunuel
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Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   04 Jul 2018, 00:12
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Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   04 Jul 2018, 00:20
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Ans: C
Total Payment = 2550 + x(155) = 9060
so x=42 no of monthly payments.

Bunuel wrote:
Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54
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chetan2u
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   04 Jul 2018, 00:22
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Bunuel wrote:
Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54



You can easily make an equation here..
9060=2550+155*n......
155n=9060-2550=6510
5*31n=31*210....
n=210/5=42
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   04 Jul 2018, 05:44
Bunuel wrote:
Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54



We can form an equation based on the given information.

Total = 9060
Down Payment = 2550
Monthly Installment = 155

Question : Number of monthly payments.


2550 + n(155) = 9060

155 n = 6510

n = 42.

Thus the best answer is C. Julia made 42 monthly payments.
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   04 Jul 2018, 08:34
Bunuel wrote:
Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54


\(9060 = 2550 + 155n\)

Or, \(155n = 6510\)

Or, \(n = 42\), Answer must be (C) 42
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   10 Mar 2019, 19:58
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Bunuel wrote:
Julia purchased a car on an installment plan. She made a down payment of $2,550 and then made n monthly payments of $155 each. If Julia paid a total of $9,060 for the car,how many monthly payments did she make?

A. 30
B. 36
C. 42
D. 48
E. 54


We can let n = the number of monthly payments and create the equation:

2550 + 155n = 9060

155n = 6510

n = 6510/155 = 42

Answer: C
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   19 Sep 2019, 15:19
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Just wanted to add that while it was easy to reduce 6510/155 to its lowest term 1302/31. I just looked at the answer choices to see which one will yield 2 as the units digit. 42 is the only answer which will yield units digit 2 when multiplied with 1 of 31. In order to save time, didn't try to double check.
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Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   12 May 2021, 09:25
Pretty straight forward.
Assume n to be number of monthly payments to be made. The equation that needs to be solved for n is:

=> 9060 = 2550 + 155*n
=> n = (9060 - 2550) / 155
=> n = 42.
Answer is choice (C).
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Re: Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   02 Jun 2021, 05:11
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Solution:

Total cost = $ 9060

=>Total cost = Down Payment + n * Each monthly instalment

=>9060 = 2550 + n * (155)

Solving,155n = 6510

=>n = 42 (option c)

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Julia purchased a car on an installment plan. She made a down payment [#permalink] New post   11 Jun 2023, 01:26
The down payment Julia made is $2,550. This amount is not part of the monthly payments. So, we need to subtract the down payment from the total amount she paid to determine the remaining amount covered by the monthly payments.

Total amount paid for the car - Down payment = Remaining amount covered by monthly payments
$9,060 - $2,550 = $6,510

Now, we need to determine how many monthly payments of $155 each are required to cover the remaining amount of $6,510.

Number of monthly payments = Remaining amount covered by monthly payments / Monthly payment amount
n = $6,510 / $155 = 42

Therefore, Julia made 42 monthly payments.
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Julia purchased a car on an installment plan. She made a down payment [#permalink]
11 Jun 2023, 01:26
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