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pav-90 [236]
3 years ago
15

One evening 1600 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for covered pavilion seats an

d $20 for lawn seats. Total recipts $36,000. How many tickets of each type were sold?How many pavilion seats were? sold?How many lawn seats were? sold?
Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Answer:

• 800 pavilion seats

• 800 lawn seats

Step-by-step explanation:

Let p represent the number of pavilion seats sold. Then 1600-p is the number of lawn seats sold. Total revenue is ...

25p +20(1600 -p) = 36000

5p + 32000 = 36000

5p = 4000

p = 800 . . . . . . . . . . number of pavilion seats sold

1600-p = 800 . . . . . number of lawn seats sold

_____

You can work these problems in your head. Consider that all seats were sold at the lower price. Then revenue would be 1600·20 = 32000. It was 36000 -32000 = 4000 more than that. The difference in ticket price is 25 -20 = 5 dollars, so there must have been 4000/5 = 800 higher-priced tickets sold. (Compare this working to the math above. You will find it substantially similar.)

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You can answer this using an online calculator - calculator soup dot com under geometry then pyramid. Select given a (side length) and s (slant height). Enter the amounts to find V (volume).

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