Richard purchased air show tickets for 5 adults and 2 kids. The total cost is $167. The cost for a child is $4 less then the cost of an adult ticket. Find the price of an adult ticket and a child ticket

an adult ticket costs $25 and a child ticket costs $21

Step-by-step explanation:

Let x represent the price of an adult ticket.

Let y represent the price of a child ticket.

Richard purchased air show tickets for 5 adults and 2 kids. The total cost is $167. This is expressed as

5x + 2y = 167- - - - - - - - - - -1

The cost for a child is $4 less then the cost of an adult ticket. This is expressed as

y = x - 4

Substituting y = x - 4 into equation 1, it becomes

5x + 2(x - 4) = 167

5x + 2x - 8 = 167

7x = 175

x = 175/7

x = 25

y = x - 4 = 25 - 4

y = 21