SOLUTION: The attendance at a concert was 1250. Admission was $20 each for adults and $10 each for children. Total receipts were $22,500. How many adults attended? a) 750 b) 500 c) 250

Question 59851: The attendance at a concert was 1250. Admission was $20 each for adults and $10 each for children. Total receipts were $22,500. How many adults attended?
a) 750
b) 500
c) 250
d) 1000
e) none of the above
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
The attendance at a concert was 1250. Admission was $20 each for adults and $10 each for children. Total receipts were $22,500. How many adults attended?
a) 750
b) 500
c) 250
1000
e) none of the above
:
Let adults be:x
Then the rest of the 1250 in attendance were children:1250-x
The amount of money made on adult tickets: 20x
The amount of money made on the children tickets: 10(1250-x)
The total amount made is: 22,500
20x+10(1,250-x)=22,500
20x+12,500-10x=22,500
10x+12,500=22,500
10x+12,500-12,500=22,500-12,500
10x=10,000
10x/10=10,000/10
x=1,000 (d)
:
For fun, figure out how many children were there, or how much money waa made on adult tickets, or children's tickets. You have all the information you need for that as well.
Happy Calculating!!!
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