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The total expenses of organizing a party has a fixed expense of $250

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The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 30 Jun 2017, 02:06
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The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300

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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 30 Jun 2017, 02:20
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Bunuel wrote:
The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300


Total fixed expense \(= $250\)

Let variable expense depending on the number of guests attending the party be \(= x\)

For \(10\) guests the total expense was estimated = Fixed expense + variable expense of \(10\) guests \(= 250 + x\)

For \(10\) guests the total expense was estimated to be \(= $650\)

\(250 + x = 650\)

\(x = 650 - 250 = 400\)

For \(10\) guests variable expense is \($400\). Therefore for \(20\) guests variable expense will be twice \(= $800\)

Estimated total expense for \(20\) guests \(= 250 + 800 = $1050\)

Answer (C)...
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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 30 Jun 2017, 02:21
Bunuel wrote:
The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300


Fixed Expense = 250
Variable Expense = 650-250 = 400
Variable Expense/Person = 400/10 = 40
Variable Expense for 20 people = 40 x 20 = 800
Total Expense for 20 people = 800+ 250 = 1050.

Answer C
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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 30 Jun 2017, 10:06
Bunuel wrote:
The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300

Total expense = Fixed Expense + Variable Expense

Variable Expense = No of guests*Variable Charges

Now, Total expense = Fixed Expense + Variable Expense

Or, 650 = 250 + 10*p

Or, 10p = 400

Or, p = 40

Quote:
What is the estimated total expense for 20 guests?
Thus, Expense for 20 persons is
Total expense = Fixed Expense + Variable Expense
Or, Total expense = 250 + 20*40
Or, Total expense = 1050

Thus, answer will be (C)

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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 04 Jul 2017, 07:10
Bunuel wrote:
The total expenses of organizing a party has a fixed expense of $250 as the rent of the place where the party is to be organized and a variable expense depending on the number of guests attending the party. For 10 guests the total expense was estimated to be $650. What is the estimated total expense for 20 guests?

(A) $800
(B) $900
(C) $1050
(D) $1250
(E) $1300


We can create the following equation in which x = the cost per guest:

250 + 10x = 650

10x = 400

x = 40

Thus, for 20 guests, the total cost is 250 + 20(40) = 1,050 dollars.

Answer: C
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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 28 Oct 2018, 03:38
650/10=65
65*20=1300
1300-250=1050
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Re: The total expenses of organizing a party has a fixed expense of $250  [#permalink]

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New post 28 Oct 2018, 13:55

Solution



Given:
    • Total expenses of organizing a party has a fixed expense of $250.
    • Total expenses of organizing a party has a variable expense depending on the number of guests attending the party.
    • For 10 guests the total expense was estimated to be $650.

To find:
    • Total expense for 20 guests

Approach and Working
    • Total expense for 10 guests= 250 + 10 *x, where x is the cost for each guest.
    • 650= 250+10*x
      o x= 40


Therefore, total expense for 20 guests= 250+20*40= 1050.

Correct answer: Option C
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