Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

how many more adults than students bought tickets to the concert?

How Many More Adults Than Students Bought Tickets To The Concert class=

Sagot :

Let's use the letter A to represent the number of adult tickets, and S to represent the number of student tickets.

We know that the total number of sold tickets was 175 (assuming everyone who bought a ticket went to the concert).

Thus, we can write:

[tex]A+S=175[/tex]

We also know that the number of sold adult tickets was 10 more than twice the number of student tickets. Thus, we have:

[tex]A=10+2S[/tex]

Now, notice that the first equation can be written as:

[tex]S=175-A[/tex]

Then, using the above result into the second equation, we obtain:

[tex]\begin{gathered} A=10+2(175-A) \\ \\ A=10+350-2A \\ \\ A+2A=360-2A+2A \\ \\ 3A=360 \\ \\ \frac{3A}{3}=\frac{360}{3} \\ \\ A=120 \end{gathered}[/tex]

Now, we can use the previous result to find S:

[tex]S=175-120=55[/tex]

Since we need to find how many more adults than students bought tickets, we need to subtract 55 from 120:

[tex]120-55=65[/tex]

Therefore, the answer is 65.

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.