(2) A local theater sells both regular priced admission tickets for their evening movies and reduced priced admission ticiets for thelr earifier matinee shows. Over the course of one business day, the theater earned $6,721 in revenue and sold 558 total tickets. Find how many of each type of ticket, was sold if regular price admission is $13.50 and tickets for matinee times are $6.50.Let = and Let =0θSolution Sentence:(2)(3)Carter traveled 95 miles from Sartell to Target Field by car for part of the way and then took the
Q. (2) A local theater sells both regular priced admission tickets for their evening movies and reduced priced admission ticiets for thelr earifier matinee shows. Over the course of one business day, the theater earned $6,721 in revenue and sold 558 total tickets. Find how many of each type of ticket, was sold if regular price admission is $13.50 and tickets for matinee times are $6.50.Let = and Let =0θSolution Sentence:(2)(3)Carter traveled 95 miles from Sartell to Target Field by car for part of the way and then took the
Define variables: Define variables for the number of regular priced tickets r and matinee tickets m.
Set up equations: Set up the equation based on total tickets sold: r+m=558.
Solve system: Set up the equation based on total revenue: 13.50r+6.50m=6721.
Multiply first equation: Solve the system of equations. Start by multiplying the first equation by 6.50 to align coefficients: 6.50r+6.50m=3627.
Subtract equations: Subtract the modified first equation from the revenue equation: 13.50r+6.50m - 6.50r+6.50m = 6721−3627.
Simplify subtraction: Simplify the subtraction to find r: 7r=3094.
Solve for r: Solve for r: r=73094=442.
Substitute back: Substitute r back into the first equation to find m: 442+m=558.