Question

Tickets to a country fair for four adults is and five children cost $33.00. An adults ticket costs $1.50 more than a child's ticket. Find the cost of the adult ticket.

Answer 1

Answer: an adult ticket costs $4.5

Explanation:

Let x represent the cost of one adult's ticket.

Let y represent the cost of one child's ticket.

Tickets to a country fair for four adults is and five children cost $33.00. This means that

4x + 5y = 33 - - - - - - - - - - - 1

An adults ticket costs $1.50 more than a child's ticket. This means that

x = y + 1.5

Substituting x = y + 1.5 into equation 1, it becomes

4(y + 1.5) + 5y = 33

4y + 6 + 5y = 33

4y + 5y = 33 - 6

9y = 27

y = 27/9 = 3

x = y + 1.5 = 3 + 1.5 = 4.5