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BaLLatris [955]
4 years ago
7

A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats coast $45 each and regular

seats coast $34 each. All of the theaters 75 preferred seats were sold out that evening. How many tickets were sold?
Mathematics
1 answer:
Leya [2.2K]4 years ago
8 0
P=preferred seats
r=regular seats
45*p+34*r=8917
p=75
45*75+34r=8917
3375+34r=8917
34r=5542
r=163

All ticket sales=r+p=75+163=238
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Answer:

r = 9

Step-by-step explanation:

3(r - 1) - 2(r + 3) = 0

First, use the distributive property.

3r - 3 -2r - 6 = 0

Now, isolate the variable "r" to one side by adding the opposite of the whole numbers to each side so it cancels it out on the left ide and adds it to the right.

3r - 3 -2r - 6 = 0

   +3        +6    +3 +6

3r - 2r = 9

Subtract the r's.

r = 9

Now that we know r = 9, we can plug in 9 into the original (but distributed) expression for every time it uses the variable "r" to check our work.

3r - 3 -2r - 6 = 0

3(9) - 3 - 2(9) - 6 = 0

27 - 3 - 18 - 6 = 0

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0 = 0

So, r = 9 is true.

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe, and please mark brainliest!

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