document.write( "Question 1151939: an art museum sold 63 tickets in 30 minutes. The ratio of adult to child tickets was 5:1. The ratio of adult to senior tickets was 5:3. How many of each kind of ticket were sold? \n" ); document.write( "
Algebra.Com's Answer #773825 by MathTherapy(10555)\"\" \"About 
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\n" ); document.write( "an art museum sold 63 tickets in 30 minutes. The ratio of adult to child tickets was 5:1. The ratio of adult to senior tickets was 5:3. How many of each kind of ticket were sold?
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Let number of children, adults, and seniors be C, A, and S, respectively
\n" ); document.write( "Since children to adults, or C:A = 1:5, it follows that:
\n" ); document.write( "Since adults to seniors, or A:S = 5:3, then \"matrix%281%2C3%2C+A%2FS%2C+%22=%22%2C+5%2F3%29\"
\n" ); document.write( " \"matrix%281%2C3%2C+5C%2FS%2C+%22=%22%2C+5%2F3%29\" ------ Replacing A with 5C
\n" ); document.write( " 5S = 3(5C) ---- Cross-multiplying
\n" ); document.write( " \"matrix%281%2C5%2C+S%2C+%22=%22%2C+3%285C%29%2F5%2C+%22=%22%2C+3C%29\"
\n" ); document.write( "With total number of attendees being 63, we then get: C + A + S = 63, or C + 5C + 3C = 63
\n" ); document.write( " 9C = 63
\n" ); document.write( " C, or
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