x = number of children admitted

314 - x = number of adults admitted

1.5x + 4(314 - x) = 896 {number admitted multiplied by price of admission equals total income}

1.5x + 1256 - 4x = 896 {distributive property}

-2.5x + 1256 = 896 {combined like terms}

-2.5x = -360 {subtracted 1256 from each side}

x = 144 {divided each side by -2.5}

314 - x = 170 {substituted 144, in for x, into 314 - x}

**144 children
**

170 adults*- Algebra House*
**
**