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Arnaldo earns $11 for each ticket that he sells, and a
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27 May 2018, 03:38
27 May 2018, 03:38
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Question Stats:
89% (01:19) correct
10% (01:43) wrong based on 56 sessions
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Arnaldo earns $11 for each ticket that he sells, and a bonus of $2 per ticket for each ticket he sells beyond the first 100 tickets. If Arnaldo was paid $2,400, how many tickets did he sell?
(A) 120
(B) 160
(C) 180
(D) 200
(E) 250
(A) 120
(B) 160
(C) 180
(D) 200
(E) 250
Re: Arnaldo earns $11 for each ticket that he sells, and a
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27 May 2018, 12:41
27 May 2018, 12:41
1
Expert Reply
Explanation
Let x = the total number of tickets sold. Therefore, (x – 100) = the number of tickets Arnaldo sold beyond the first 100. Using the information given, set up an equation and solve:
\(11x + 2(x - 100) = 2,400\)
\(11x + 2x - 200 = 2,400\)
\(13x = 2,600\)
\(x = 200\)
Let x = the total number of tickets sold. Therefore, (x – 100) = the number of tickets Arnaldo sold beyond the first 100. Using the information given, set up an equation and solve:
\(11x + 2(x - 100) = 2,400\)
\(11x + 2x - 200 = 2,400\)
\(13x = 2,600\)
\(x = 200\)
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Re: Arnaldo earns $11 for each ticket that he sells, and a
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14 Jun 2018, 09:22
14 Jun 2018, 09:22
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Expert Reply
sandy wrote:
Arnaldo earns $11 for each ticket that he sells, and a bonus of $2 per ticket for each ticket he sells beyond the first 100 tickets. If Arnaldo was paid $2,400, how many tickets did he sell?
(A) 120
(B) 160
(C) 180
(D) 200
(E) 250
(A) 120
(B) 160
(C) 180
(D) 200
(E) 250
We can let n = the number of tickets sold and create the equation:
2400 = 11(100) + 13(n - 100)
2400 = 1100 + 13n - 1300
2400 = -200 + 13n
2600 = 13n
200 = n
Answer: D
