Ben bought 7 tickets to a concert and spent $43. He bought a combination of General Admission tickets for $4 each and Reserved Seat tickets for $9 each.

Let x be the number of   GA tickets

Let y be the number of  Reserved tickets

And Price * Quantity  =  Total cost ........so......the system is

x + y  = 7      

4x + 9y = 43

And I'll go ahead and solve this....

We can re-write the first equation as   y  = 7 - x      and substituting this into the second equation for y, we have

4x + 9[7 - x]   =  43  simplify

4x + 63 - 9x  = 43

-5x + 63  = 43     subtract 63 from both sides

-5x  = -20           divide both sides by -5

x = 4      so    y  = 3

He bought 4 GA tickets and 3 Reserved tickets

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