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
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
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:
\[5x + 7(200-x) = 1340\]
Does that make sense to you?
@geoffb So it really is C?
I thought so @geoffb. I thought it was A.
Did you work out the formula above? Does it make sense how I got it and what it means?
So Id end up with 4x+1400=1340?
No, not 4x.
\[5x + 1400 - 7x = 1340\]
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.
Does that make sense?
OH so its B
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