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An amusement park charges $17 for each adult ticket and $6 for each child ticket. One day, the park earned $3,640 in ticket sales. Let x represent the number of adult tickets sold. Let y represent the number of child tickets sold. If 400 tickets were sold on this day, which system of equations can be used to find the number of each type of ticket sold?

 Apr 13, 2020
 #1
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Let x = number of adult tickets sold   --->   17x = value of those tickets.

 

Let y = number of child tickets sold   --->   6y = value of those tickets.

 

Value equation:  17x + 6y  =  3640

 

Number of tickets equation:  x + y  =  400

 

Putting these two equations together:

   17x + 6y  =  3640                                   --->     17x + 6y  =  3640 

       x +   y  =  400   --->   multiply by -6    --->      -6x - 6y  =  -2400

Adding down:                                                        11x        =   1240

                                                                                       x  =    112.7272...

 

This can't be!

If I didn't make a mistake, the problem is  imposssible.

 Apr 13, 2020

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