tickets for a school play cost $4 for adults and $2 for kids and the sell 105 tickets making 360 how much does each ticket cost

Question

tickets for a school play cost $4 for adults and $2 for kids and the sell 105 tickets making 360 how much does each ticket cost x represent adult tickets and y represent kid tickets 

 

Answer 1

I'm assuming that "how much does each ticket cost?" probably isn't the correct question for this problem. They already told you that adults are $4 and kids are $2 It is probably "how many of each ticket were sold?"

 

 

Assuming this, you have to start by writing two equations from the information provided:

105 total tickets were sold    

        x+y=105

they made $360 and  adult tickets cost $4 and kids tickets cost $2

       360=4x+2y

 

lets solve for x in the first equation:

x=105-y

we can plug this into the second equation and solve for y

360=4(105-y)+2y

360=420-4y+2y

360=420-2y

-60=-2y

y=30

 

we can plug this into the first equation and solve for x:

x+30=105

x=75

 

I hope this helps. Let me know if you have further questions.