x = number of reserve tickets

1112 - x = number of general admission tickets

4.5(1112 - x) + 7x = 5694 {value of ticket times number of tickets equals total value}

5004 - 4.5x + 7x = 5694 {used distributive property}

5004 + 2.5x = 5694 {combined like terms}

2.5x = 690 {subtracted 5004 from each side}

x = 276 {divided each side by 2.5}

1112 - x = 836 {substituted 276, in for x, into 1112 - x}

**276 reserve tickets
**

836 general admission tickets*- Algebra House*
**
**