The total cost of admission to the ballet is $196.00 for 2 adults and 4 children. An adult admission is $14 more than a child.

Question

How much is an adult admission?

Answer 1

Let x be the cost of a child admission.

Since an adult admission is $14 more than a child, the cost of an adult admission would be x + $14.

We are given that the total cost of admission for 2 adults and 4 children is $196.

So we can set up the equation:

2(adult admission cost) + 4(child admission cost) = $196

2(x + $14) + 4(x) = $196
2x + $28 + 4x = $196
6x + $28 = $196
6x = $168
x = $28

So, a child admission costs $28 and an adult admission costs $14 more, which is $28 + $14 = $42.

Therefore, an adult admission is $42.