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From 9:00 to 17:55, inclusive, a ticket station sold tickets [#permalink]

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05 May 2006, 23:21

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is $10, for child, $6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?

From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is $10, for child, $6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?

I am getting $28,890.
What does not look practical is that the no. of adults the tickets were sold to came out to be = 3/4*3210 = 2,407.5
Doesn't sound right. I was expecting a whole number.

3:1 tix Adult:Child 3x + 1x = 3210 <----I guess this should just be 3/4 for Adults and 1/4 for Children? 4x = 3210 x = 702.5

702*3=2107*10=21070 702*6=4212+21070=25282

This shall happen if you take the nearest number to 802.5. Since the question stem does not talk about disregarding or not disregarding fractional numbers, the answer is subject to interpretation. With 802.5 the answer is $28,890.
_________________

From 9:00 to 17:55, inclusive, a ticket station sold tickets to 30 people in each 5 minutes. The price for adult is $10, for child, $6. The number of the tickets sold to the adult is 3 times to the number of the tickets to children. What is the total gross revenue of the day?

I think the trap lies in "The number of the tickets sold to the adult is 3 times to the number of the tickets to children".
It may be interpreted not as x=3y but as x=y+3y -->x=4y