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Nutka1998 [239]
3 years ago
7

The drama club sold 2100 tickets to their last play. Student tickets were $5 and adult tickets were $7. They collected $12,950.

How many student tickets were sold?
Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

<u>875</u> student tickets were sold.

Step-by-step explanation:

Given:

The drama club sold 2100 tickets to their last play.

Student tickets were $5 and adult tickets were $7.

They collected $12,950.

Now, to find the number of student tickets sold.

Let the number student tickets be x.

And the number adult tickets be y.

So, the total number of tickets:

x+y=2100\\y=2100-x

Now, the total amount collected:

5x+7y=12950

Putting the value of y from above:

5x+7(2100-x)=12950

5x+14700-7x=12950

14700-2x=12950

<em>Subtracting both sides by 14700 we get:</em>

-2x=-1750

<em>Dividing both sides by -2 we get:</em>

x=875.

The number of student tickets = 875.

Therefore, 875 student tickets were sold.

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Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

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The equivalent logarithmic form is:

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I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

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I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

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Now we subtract 4 on both sides:

\log_9(11)-4=x

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