The question is, penny family decided to go to the splash park. they purchased two adult tickets and two adult child tickets. the adult tickets were 1.5 time the price of the child tickets and the total cost for all four tickets was $85. what was the cost of each type of ticket.

Thank you for the opportunity to help you with your question!

Let x be the cost of a child ticket. This means that the cost of of an adult ticket is 1.5x.

Two of each type of ticket were purchased. So 2 times the cost of adult tickets plus 2 times the cost of child tickets is the total cost which is $85. In equation form...

2(1.5x)+2(x)=85

3x+2x=85 Combine like terms.

5x=85 Divide both sides by 5.

x=$17 the price of a child ticket.

An adult ticket is 1.5 the price of a child ticket or 1.5(17)= $25.5 the price of an adult ticket

Please let me know if you need any clarification. I'm always happy to answer your questions.