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(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 
qquad 
= 
qquad and Let 
qquad 
= 
qquad
0

theta
Solution Sentence:
(2)
(3)
Carter traveled 95 miles from Sartell to Target Field by car for part of the way and then took the

(22) 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 \$ 6,721 in revenue and sold 558558 total tickets. Find how many of each type of ticket, was sold if regular price admission is $13.50 \$ 13.50 and tickets for matinee times are $6.50 \$ 6.50 .\newlineLet \qquad = = \qquad and Let \qquad = = \qquad \newline00\newlineθ \theta \newlineSolution Sentence:\newline(22)\newline(33)\newlineCarter traveled 9595 miles from Sartell to Target Field by car for part of the way and then took the

Full solution

Q. (22) 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 \$ 6,721 in revenue and sold 558558 total tickets. Find how many of each type of ticket, was sold if regular price admission is $13.50 \$ 13.50 and tickets for matinee times are $6.50 \$ 6.50 .\newlineLet \qquad = = \qquad and Let \qquad = = \qquad \newline00\newlineθ \theta \newlineSolution Sentence:\newline(22)\newline(33)\newlineCarter traveled 9595 miles from Sartell to Target Field by car for part of the way and then took the
  1. Define variables: Define variables for the number of regular priced tickets rr and matinee tickets mm.
  2. Set up equations: Set up the equation based on total tickets sold: r+m=558r + m = 558.
  3. Solve system: Set up the equation based on total revenue: 13.50r+6.50m=672113.50r + 6.50m = 6721.
  4. Multiply first equation: Solve the system of equations. Start by multiplying the first equation by 6.506.50 to align coefficients: 6.50r+6.50m=36276.50r + 6.50m = 3627.
  5. Subtract equations: Subtract the modified first equation from the revenue equation: 13.50r+6.50m13.50r + 6.50m - 6.50r+6.50m6.50r + 6.50m = 672136276721 - 3627.
  6. Simplify subtraction: Simplify the subtraction to find rr: 7r=30947r = 3094.
  7. Solve for r: Solve for r: r=30947=442r = \frac{3094}{7} = 442.
  8. Substitute back: Substitute rr back into the first equation to find mm: 442+m=558442 + m = 558.
  9. Solve for m: Solve for m: m=558442=116m = 558 - 442 = 116.

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