Question 60876



Adult tickets cost $18.00 children cost $8.00 there were 21 people total at the theatre and they  collected $288.00 how many children attended?


solution:

let us take number of children  = x

then number of adults           =  21 - x  {because total number is 21


cost of one child's ticket      = $ 8

so cost of  x childen ticket    = x * $ 8

cost of one adult ticket        = $ 18

so cost of (21 - x ) tickets    = (21 -x ) * $ 18

Total money collected           = $ 288

this can be combined like this,

( 21 - x )* 18 +  x * 8         = $ 288

remove the brackets by multiplying terms, we have,


      21 * 18 - x * 18 + x * 8        = $ 288

                  378 - 18x + 8x      =  288

                         378  - 10x   = 288

                        378  - 288    = 10 x

                                90    = 10 x

                                 x    =  90/10

                                  x   = 9

       therefore number of children   = 9