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Question 123701: Hello! Please help me with this problem. Thank you very much! I appreciate your dedication and kindness!
An adult ticket cost $6. A student ticket cost $4. During the school concert, there was a total of 750 people who attended. The school made $3890 in total. How many adults attended the concert?
Answer by nadinadan(32)   (Show Source):
You can put this solution on YOUR website! Let's change the words into math operations. Let's say A is the number of adults and S is the number of students to the event.
So the problem says there are 750 tickets sold. So A+S=750
and the problem says that the ticket for adults is $6 and the ticket for students is $4 and all together the tickets were $3890, so we add all the tickets money (A*6)+(S*4)=3890
Now we have 2 ecuations:
A+S=750 and (A*6)+(S*4)=3890
from the first ecuation we can find A=750-S and replace it to the second ecuation ((750-S)*6)+)+(S*4)=3890 and we solve 4500-6S+4S=3890
so simplified, 2S=4500-3890 2S=610 so S=305 so there were 305 students at the concert. To find the number of adults we replace S=305 into the first ecuation:
A+S=750 so A=750-305=445 so there were 445 adults and 305 students at the concert.
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