Problem Solving due 2:30 PM Ms. Borg Crack the Code and Tickets

Ms. Borg Do Now on Edulastic

Notes: Problem 1 below: clues 1 and 2 leaves 15342, 35402, 05142, 43501, 05124, 13402
Clue 3 means the first 2 digits are both odd leaves 15342, 35402, 13402
Clue 4 leaves  35402 answer

Problem 2 below: 24 rows of 16 seats = 384; 
1/3 sold to students= 128, 1/4 to adults =96; 1/6 to teachers = 64
sold = 128+96+64 = 288 fraction 288/384= .75 = 3/4
Available = 384-288= 96

1. Christi has been playing a game that her brother wrote for her. She has one challenge left to reach the treasure. She needs to figure out which of these five-digit codes will unlock the vault:
15342
21540
35402
35123
50034
05142
23105
15320
43501
05124
53424
13402
To help her figure it out, her brother has given her the following clues:
  1. Each digit is different.
  2. The code number is not a multiple of 5.
  3. The product of the first two digits is odd.
  4. The sum of the first four digits is 12.
What code should Christi use?

2. Tickets to Fairview Elementary School's production of Beauty and the Beast went on sale this week. The school theater has 24 rows of 16 seats each.
1/3 of all the seats have been sold to students for $3 each.
1/4 of them have been sold to adults for $5 each.
1/6 of them were given to the teachers.
  1. If everyone who already has a ticket goes to the show, what fraction of the seats in the theater will be filled?
  2. How many seats are still available?



Pre-Algebra Ordonez submitted below

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