Correct answer submitted by:
What’ s my access code?
A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:
� The fifth number plus the third number equals fourteen. � The fourth number is one more than the second number. � The first number is one less than twice the second number. � The second number plus the third number equals ten. � The sum of all five numbers is 30. What were the five numbers and in what order?
Please send your answers to Thomas Selling via e-mail: thomasselling @ me. com Correct responses will be recognized in the future issues of the New Hampshire Civil Engineer
5 free throws, 12 two-point shots, and 1 three-point shot.
Let x be the number of free throws made, y be the number of 2- pointers made, and z be the number of 3-pointers made. From the score, you know( A): x + 2y + 3z = 32. From the quote, you know( B): x + y + z = 18. Multiply( B) by 3 to get( C): 3x + 3y + 3x = 54. Subtract( A) from( C) to get: 2x + y = 22, or( D): y = 22- 2x. From the quote, you also know( E): 2x <= y. Substituting( D) into( E) gives: 2x <= 22- 2x, or( F): x <= 5.5. If x = 5, then from( D) you get y = 12, and from( A) you get z = 1. If x = 4, then y = 14, and z = 0. If x = 3, then y = 16, and z =-1. This is not possible because z cannot be negative. If you continue decrementing x, then z will continue to decrease too. So, you have two options that fit the criteria given by your brother: 5 free throws, 12 two-point shots, 1 three-point shot, or 4 free throws, 14 two-point shots, 0 three-point shots. So it ' s a good thing that you heard that your favorite player made a 3-pointer, because that eliminates the second option!
Correct answer submitted by:
‣ Nate Miller, So. NH Planning Commission
‣ William Lambert, PE, NHDOT
‣ Frank Koczolka, PE, VHB