document.write( "Question 1101700: 1000 people at concert. X were adults and y were kids. Adults cost 10 Euro and kids cost 5 Euro. Total amount 8750 Euro. How many were kids and how many were adults \n" ); document.write( "
Algebra.Com's Answer #716416 by greenestamps(13216)\"\" \"About 
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\n" ); document.write( "This is really a \"mixture\" word problem: you are mixing 5 euro tickets and 10 euro tickets and coming out with an average ticket price of 8750/1000 = 8.75 euros.

\n" ); document.write( "By far the easiest way to solve a problem like this is with the method of alligation. Do an internet search on \"alligation\" if you are interested in learning more about it.

\n" ); document.write( "Here is my version of alligation, used to solve this problem quickly and easily.

\n" ); document.write( "The lower ticket price is 5; the average ticket price is 8.75; the higher ticket price is 10.

\n" ); document.write( "Where does the 8.75 lie \"on a number line\" between 5 and 10? It is 3/4 of the way from 5 to 10. (8.75-5 = 3.75; 10-5 = 5; 3.75/5 = 3/4).

\n" ); document.write( "That means that 3/4 of the tickets must be the higher price.

\n" ); document.write( "So 1/4 of the 1000 tickets (250) are 5 euro tickets, and 3/4 of the 1000 (750) are 10 euro tickets.
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