Idaho
Society of Professional Engineers
PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org
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PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org |
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Idaho Society of Professional Engineers
• January 22, 2007 – ISPE Northern Chapter Monthly Meeting - 5:30 - 6:45 PM - Ironhorse Restaurant, Room #1 • February 3, 2007 - Northern Chapter MATHCOUNTS Competition - Lewiston • February 5, 2007 – Deadline for submissions of 2007 ISPE Award Nominations • February 6 – 10, 2007 – Idaho Society of Professional Land Surveyors Conference - Coeur d' Alene Casino - Worley, Idaho • February 10, 2007 - Southeast Chapter MATHCOUNTS Competition – Pocatello • February 13, 2007 - Magic Valley Chapter MATHCOUNTS Competition – Twin Falls • February 13, 2007 - Northern Chapter MATHCOUNTS Competition – Coeur d’Alene • February 24, 2007 - Southwest Chapter MATHCOUNTS Competition - Boise • March 10, 2007 – State MATHCOUNTS Competition – Boise State University, Boise • March 22 & 23, 2007 – ISPE 2007 Annual Meeting – Oxford Suites, Boise • May 11, 2007 – National MATHCOUNTS Competition – Convention Center, Fort Worth, Texas VOLUNTEERS NEEDED!
ENGINEERING KIDS’ SHOW
PE REVIEW COURSE FOR CIVIL & MECHANICAL
ENGINEERING
MATHCOUNTS PROBLEM OF THE WEEK
Boarders and Skiers Share the Slopes y = mx + b where m and b are common fractions. ________________________________________ The price of a daily lift ticket at a ski area is $38. On Mondays, the area management offers a lift ticket for $20 with the donation of 2 cans of food for the county food bank. What is the maximum amount a ticket purchaser can spend for two cans of food to donate and still save at least 40 percent of the daily lift ticket price? ________________________________________ The Ed chairlift has a vertical rise of 900 feet and the Green Machine chairlift has a vertical rise of 1200 feet. Both ski lifts start at the ski lodge and Jason started and ended his day at the ski lodge. Jason skied a total of 15,900 vertical feet and rode only these two chairlifts a total of 16 times. How many times did he ride each chairlift?
Answer to last week’s MATHCOUNTS problem: J + T = 26, T + P = 18, and P + J = 22. From the third equation J = 22 – P. Substitute for J in the first equation, 22 – P + T = 26 or T – P = 4. Add T + P = 18 and T – P = 4 and solve for T: 2T = 22 and T = 11. J = 26 – 11 = 15, P = 22 – 15 = 7. Jung has 15 insects, Tara has 11 insects, and Pavan has 7 insects. ________________________________________ Max – Min = 38, (Max + Min) ÷ 2 = 46. Multiply the second equation by 2. Max + Min = 92. Add this result to the first equation and solve for Max. 2Max = 130, Max = 65. 65 – Min = 38, Min = 27. The maximum number of insects in the collection was 65 and the minimum number of insects in the collection was 27 during the second week of collecting. ________________________________________ Make a Venn diagram to sort the information. Let A = winged, A’ = not winged B = less than one-half inch, B’ = not less than one-half inch C = more than one color, C’ = not more than one color 2 insects were winged, more than one color, and less than one-half inch long: 2 insects are in A, B and C
7 insects (of various lengths) were winged and more than one color: 7 insects are in A and C.
6 insects (winged and non-winged) were more than one color and less than one-half inch long: 6 insects are in C and B.
5 insects (of single and multi-colorings) were winged and less than one-half inch long: 5 insects are in A and B.
12 insects were less than one-half inch long, non-winged and only brown: 12 insects are in B but A’ and C’.
9 insects were winged, more than one-half inch long, and only brown: 9 insects are in A but B’ and C’.
14 insects were more than one color, more than one-half inch long, and non-winged: 14 insects are in C but B’ and A’.
5 insects did not have any of the sorted characteristics: 5 insects are A’, B’ and C’.
There are 54 insects in the collection?
If you want to see last week's problem again, click
http://www.mathcounts.org/webarticles/anmviewer.asp?a=955&z=110
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National Engineers Week - Future City Competition
Board of Professional Engineers and Professional Land Surveyors
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