DO Now Due 230 PM Math Problem Solving Ms. Borg

1. The Academy Awards introduced a new category last year for Animated Feature Film. The first winner, announced just a few weeks ago, was Shrek. Ticket prices in our area during the run of this film were approximately $8.50.

     For the year I was born, Oliver! won both musical score and best picture. During that year, my parents could purchase a movie ticket for about $1.25. Had they seen a musical on Broadway, tickets would have cost about $15.00.

    If ticket prices for musicals rose at the same rate as did those for movies, what would it cost to see a musical version of Shrek?

S = Shrek Musical price; 8.50 = Shrek movie price

S/8.50 = 15.00/1.25 = (Oliver Musical)/(Oliver Movie) 

 S = 15.00 * 8.50 / 1.25 = 102.00 ans

2. At the movie theater, 202 tickets are sold. A child ticket costs $6 and an adult ticket $10. How many tickets of each were sold if the receipts totaled $1708?
   6c + 10a = receipts ; a + c = 202;  substitute for c to get number of adult tickets 10a + 6(202-a) = 1708; distribute the number 6 to get a result: 10a + 1212 -6a = 1708 combine like terms 4a + 1212= 1708  subtract 1212 from both sides to get 4a = 496 divide both sides by 4 to get a = 128; substitute for a in the original to get 128 + c = 202 . subtract 128 from both sides to get c = 202-128 = c=74; a=128 Ans