Answer #1: Percentages
Sub-Total each column.   Add all subtotals for Total.
To calculate percentage per category,
   divide the subtotal for that category by the total expenses.
Example for Food: $330 / $1560 = 21.15%
See chart below for answers.
      Food   Lodging   Gasoline   Tickets   Other  
  Mon   $50.00   $45.00   $95.00       $10.00  
  Tues   $40.00   $45.00   $83.00   $55.00   $20.00  
  Wed   $29.00   $55.00   $37.00   $65.00   $10.00  
  Thurs   $80.00   $55.00   $45.00   $70.00      
  Fri   $31.00   $85.00       $40.00      
  Sat   $44.00       $81.00   $89.00   $40.00  
  Sun   $56.00   $75.00   $100.00       $30.00  
  Sub-Totals   $330.00   $360.00   $441.00   $319.00   $110.00 $1560
  % by category   21.15%   23.08%   28.27%   20.45%   7.05% 100%




Answer #2: Proportion

5400 total miles            21 miles/gallon
 ------------     X      ------------
$441 total cost                $? per gallon

Cross Multiply 21 * 441 / 5400 = $ per gallon.

9261 / 5400 = $1.72 per gallon






Answer #3: Percent Change
For each problem:
- Find the difference between the first and second number: ex: 91 - 60 = 31
(always get the positive answer).
- Multiply the difference by 100: ex: 31 * 100 = 3100
- Divide 3100 by the original cost ex: 3100 / 60 = 51.6
- 51.6% is the percent of change.
- Determine if it has increased or decreased. ex: Increased.
  Stadium   Ticket Price   % Change   Increase/Decrease  
  #1   $60.00   -----   -----  
  #2   $91.00   51.66%   increase  
  #3   $66.00   27.47%   decrease  
  #4   $84.00   27.27%   increase  
  #5   130.00   54.76%   increase  
  #6   $78.00   40.00%   decrease  
  #7   $50.00   35.90%   decrease  
  #8   $73.00   46.00%   increase  
  #9   $70.00   4.11%   decrease  
  #10   $79.00   12.86%   increase  




Answer #4: Indirect Measurement
     6.5 feet                             X
 ------------            ------------
     10 feet                    (10 x 15) feet
Cross Multiply 6.5 * (10 * 15) / 10 = x
6.5 * 150 / 10 = x
975 / 10 = x
x = 97.5 feet






Answer #5: Word Problem

San Francisco = x
Los Angeles= x + 4
San Diego = x + 7          =     5x + 41
Anaheim = x + 12
Oakland = x + 17
  Solve:   Ticket Price per Stadium  
  5x + 41 = $321   San Francisco = x = $56  
  5x + 41 - 41 = 321 - 41   Los Angeles = x + 4 = 56 + 4 = $60  
  5x = 280   San Diego = x + 7 = 56 + 7 = $63  
  5x / 5 = 280 / 5   Anaheim = x + 12 = 56 + 12 = $68  
  x = $56   Oakland = x + 17 = 56 + 17 = $73  




Extra Credit Answer




1.) Using the Pythagorian Theorum, find the distance from the Oakland stadium to the Arizona stadium.
a² + b² = c²
(322)² + (485)² = c²
(322*322) + (485*485) = c²
103684 + 235225 = 338909
c² = 338909
c = 582.2 miles

2.) Determine how many hours it will take to travel 582.2 miles at an average speed of 65 mph.
582.2 / 65 = 8.956 hours (round to 9 hours)

3.) Add in the time for resting during the night
9 + 4 = 13 hours total

4.) Figure out time of arrival based on 13 hours on the road.
11pm + 13 hours = 12 noon.

5.) Since the game starts at 1:05pm, you will arrive with just over an hour to spare.

** Note: This problem assumes a steady 65 miles an hour.  In real life traffic could cause a delay.