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Tickets for a school play cost $5 if you buy them early, and $7 if you buy them the day of the show. If 200 tickets are sold, and the total amount of money from ticket sales was $1340, how many tickets were purchased early?
A. 170 tickets
B. 30 tickets
C. 100 tickets
D. 124 tickets
 one year ago
 one year ago
Tickets for a school play cost $5 if you buy them early, and $7 if you buy them the day of the show. If 200 tickets are sold, and the total amount of money from ticket sales was $1340, how many tickets were purchased early? A. 170 tickets B. 30 tickets C. 100 tickets D. 124 tickets
 one year ago
 one year ago

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kaylamalik_xoBest ResponseYou've already chosen the best response.0
@dietrich_harmon how? ;o
 one year ago

geoffbBest ResponseYou've already chosen the best response.0
Let early tickets be \(x\). Since there are 200 total, late tickets must be \(200  x\). You also know that the sum of all tickets is $1340. So: \[5x + 7(200x) = 1340\] Does that make sense to you?
 one year ago

kaylamalik_xoBest ResponseYou've already chosen the best response.0
@geoffb So it really is C?
 one year ago

kaylamalik_xoBest ResponseYou've already chosen the best response.0
I thought so @geoffb. I thought it was A.
 one year ago

geoffbBest ResponseYou've already chosen the best response.0
Did you work out the formula above? Does it make sense how I got it and what it means?
 one year ago

kaylamalik_xoBest ResponseYou've already chosen the best response.0
So Id end up with 4x+1400=1340?
 one year ago

geoffbBest ResponseYou've already chosen the best response.0
\[5x + 1400  7x = 1340\]
 one year ago

geoffbBest ResponseYou've already chosen the best response.0
Very good! So once you solve for x, a very important step is to go back and look at what you chose x to represent. In this case, we chose for it to represent tickets purchased early. If we had let it represent tickets purchased late, you would end up with x = 170, but the answer *wouldn't* be A, because it is looking for tickets purchased early, not late.
 one year ago

geoffbBest ResponseYou've already chosen the best response.0
Yes, and you can test it if you want (I would if you were doing a test. 30 early tickets x $5 = $150 170 late tickets x $7 = $1190 Total ticket revenue = $1340
 one year ago
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