13. Two seventh-grade classes are selling raffletickets to raise money. One class is selling ticketsfor $3.50 each and has already raised $450. Theother class is selling tickets for $4.00 each and hasalready raised $375. Write an equation that can beused to find t, the number of tickets each classneeds to sell so that the total amount raised is thesame for both classes.
Accepted Solution
A:
Answer:[tex]150\ tickets[/tex]Step-by-step explanation:Lett -----> the number of ticketsy ----> the total amount raisedwe know thatThe linear equations that represent this situation areOne Class[tex]y=3.50t+450[/tex] -----> equation AOther Class[tex]y=4.00t+375[/tex] -----> equation BSolve the system of equations Equate equation A and equation B and solve for t[tex]4.00t+375=3.50t+450[/tex][tex]4.00t-3.50t=450-375[/tex][tex]0.50t=75[/tex][tex]t=150\ tickets[/tex]