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24 Oct 2019, 00:17
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
83% (01:28) correct
17%
(01:44)
wrong
based on 86
sessions
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John spent a total of $135 on baseball tickets. The price of a ticket is either $12 for the field seats or $5 for the balcony. What is the minimum amount of dollars he could have spent for the $12 tickets?
A. $48
B. $60
C. $84
D. $96
E. $120
A. $48
B. $60
C. $84
D. $96
E. $120
24 Oct 2019, 00:28
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Let number of field seats be f
and number of balcony seats b
12f+5b=135
12f=135-5b
We can deduce that 12f must be a multiple of 5 (135-5b is a multiple of 5)
The lowest non-negative multiple of 5 is 0 --> 12*0=0 but we dont have 0 as an answer
The second is 5 itself --> 12*5=60
IMO
Ans: B
P.S In my modest opinion, in the stem there should be stated that at least one $12 ticket was bought
and number of balcony seats b
12f+5b=135
12f=135-5b
We can deduce that 12f must be a multiple of 5 (135-5b is a multiple of 5)
The lowest non-negative multiple of 5 is 0 --> 12*0=0 but we dont have 0 as an answer
The second is 5 itself --> 12*5=60
IMO
Ans: B
P.S In my modest opinion, in the stem there should be stated that at least one $12 ticket was bought
24 Oct 2019, 00:44
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Bunuel
Let he buy x number of 12 dollars tickets nd y number of 5 dollars ticket.
12x + 5y = 135
if x =0
12 *0 + 5y = 135
y = 27.
if x = 5
12 * 5 + 5*15 = 135.
Thus , minimum x = 5.
Total = 5*12 = 60.
B is the correct answer.
