Q:

ariana grande is coming to north gulfport middle school for a fundraising benefit concert!Nevaeh is selling tickets.This week,she sold 3 kids tickets and 9adukg tickets for a total of $75.Last week,she sold 8 kids tickets and 5 adult tickets for $67.How much was each adult ticket,and how much was each kids ticket .please show work :)

Accepted Solution

A:
Answer:Adult = $7Kids = $4Step-by-step explanation:Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.Let x = Price of kids ticketsLet y = Price of adults ticketsFor this week the expression is:3x + 9y = 75 For the last week the expression is:8x + 5y = 67Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.3x + 9y = 758x + 5y = 67Now we need to remove either the x or y by multiplying the whole expressions by a certain number.8(3x + 9y = 75)24x + 72y = 6003(8x + 5y = 67)24x + 15y = 201Now that we have our equations and we can eliminate the x by subtracting both expressions. 24x + 72y = 600- 24x + 15y = 201          57y = 399To find the value of y, we divide both sides by 57.[tex]\dfrac{57y}{57}=\dfrac{399}{57}[/tex]y = 7Now that we have the value for y, we simply substitute the value in any of our expressions.3x + 9y = 753x + 9(7) = 753x + 63 = 753x = 75 - 633x = 12Now we divide both sides by 3 to find the value of x.[tex]\dfrac{3x}{3}=\dfrac{12}{3}[/tex]x = 4So the ticket prices are:Adult = $7Kids = $4