document.write( "Question 1165695: a small art museum charges $5 for an adult ticket and $3 for a student ticket . at the end of the day the museum sold 81 tickets and made $371. how many of each type of ticket did the museum sell? \n" ); document.write( "
Algebra.Com's Answer #790187 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let a = no. of adult tickets ($5) \n" ); document.write( "let s = no. of student tickets ($3) \n" ); document.write( ": \n" ); document.write( "A small art museum charges $5 for an adult ticket and $3 for a student ticket . \n" ); document.write( " at the end of the day the museum sold 81 tickets and made $371. \n" ); document.write( "a + s = 81 \n" ); document.write( "5a + 3s = 371 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 3, subtract from 2nd equation \n" ); document.write( "5a + 3s = 371 \n" ); document.write( "3a + 3s = 243 \n" ); document.write( "---------------Subtraction eliminates s, find a \n" ); document.write( "2a + 0 = 128 \n" ); document.write( "a = 128/2 \n" ); document.write( "a = 64 adult tickets \n" ); document.write( "find s \n" ); document.write( "81 - 64 = 17 students \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check using the 2nd equation \n" ); document.write( "5(64) + 3(17) = \n" ); document.write( "320 + 51 = 371 \n" ); document.write( " \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |