Can you rank the college logos from the 10 clues below?
Each logo has a value from 1 to 10, and no two logos have the same value.
Give the answer for each of the following logos:
Arkansas Razorbacks = | |
Baylor Bears = | |
Clemson Tigers = | |
Colorado State Rams = | |
Hartwick Hawks = | |
James Madison Dukes = | |
Richmond Spiders = | |
Wake Forest Demon Deacons = | |
William & Mary Tribe = | |
Wyoming Cowboys = |
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Solution to the Problem:
The Top Ten College logos are:1. Clemson Tigers
2. Baylor Bears
3. Wake Forest Demon Deacons
4. James Madison Dukes
5. William & Mary Tribe
6. Colorado State Rams
7. Hartwick Hawks
8. Arkansas Razorbacks
9. Richmond Spiders
10. Wyoming Cowboys
To solve the puzzle, let A = William & Mary, B = Richmond, C = Wyoming, D = Clemson
E = Wake Forest, F = Arkansas, G = Colorado State, H = Baylor, I = James Madison, J = Hartwick
Then you can write the following ten equations:
(1) D + B = 10
(2) A + C = 5 * E
(3) H + B = E + F
(4) A + J = E + B
(5) B = A + I
(6) C = F + H
(7) G = H + E + 1
(8) G + E = H + 7
(9) G + H = E + 5
(10) A + I + F = 17
Begin with equations 7, 8, and 9 to solve for G, H, and E.
Substitute equation 7 in both equation 8 and equation 9:
H + E + E + 1 = H + 7 => 2E = 6 => E = 3
H + E + 1 + H = E + 5 => 2H = 4 => H = 2
Then G = 2 + 3 + 1 = 6
Now substitute the values for G, E, and H in the other equations above.
A + C = 15
B = 1 + F
A + J = 3 + B
C = F + 2
So B = A + J - 3
A = 15 - F - 2
A = 1 + F - I
A = 13 - F
13 - F = 1 + F - I
I = 2F - 12
A + F + I = 17
13 - F + F + 2F - 12 = 17
So, F = 8
Now, A = 5 and I = 4
Then B = 1 + 8 = 9 and D = 1.
C = 8 + 2 = 10 (from equation 6)
5 + J = 3 + 9 so J = 7 from equation 4.
Correctly solved by:
1. Eliza Sheffield and Anna Vice | Tuscaloosa, Alabama |
2. James Cotter |
Baylor University, Waco, Texas |
3. Keylee Esplin |
Delta High School, Delta, Colorado |
4. Tyler Stoddard |
Mountain View High School, Mountain View, Wyoming |
5. Ivy Joseph | Pune, Maharashtra, India |
6. Christian Elsborg |
Mountain View High School, Mountain View, Wyoming |
7. Cooper Martin |
Mountain View High School, Mountain View, Wyoming |
8. Madison Bindl |
Mountain View High School, Mountain View, Wyoming |
9. Brijesh Dave | Mumbai city, Maharashtra, India |
10. Tyson Roberts |
Mountain View High School, Mountain View, Wyoming |
11. Cailee Hamilton |
Mountain View High School, Mountain View, Wyoming |
12. Raegan Martin |
Mountain View High School, Mountain View, Wyoming |
13. Oceana Bergholtz |
Delta High School, Delta, Colorado |
14. Linzy Carpenter | ---------- |
15. Trevon Peterson |
Mountain View High School, Mountain View, Wyoming |
16. Behlee Aimone |
Mountain View High School, Mountain View, Wyoming |
17. Valerie Walker | ---------- |
18. Sabre Williams | ---------- |
19. Karlee Hereford |
Mountain View High School, Mountain View, Wyoming |
20. Skyler Kraai |
Delta High School, Delta, Colorado |
21. Sami Lane |
Delta High School, Delta, Colorado |
22. Sameha Haque |
Delta High School, Delta Colorado |
23. Miko Zhang |
Delta High School, Delta, Colorado |
24. Ben Todd |
Mountain View High School, Mountain View, Wyoming |
25. Sierra Toomer |
Mountain View High School, Mountain View, Wyoming |
26. Jaden Downey |
Mountain View High School, Mountain View, Wyoming |
27. Caden Stoll |
Mountain View High School, Mountain View, Wyoming |
28. Kelsey Giorgis |
Mountain View High School, Mountain View, Wyoming |
29. Claire Corbasson |
Mountain View High School, Mountain View, Wyoming |
30. Nate Moretti |
Mountain View High School, Mountain View, Wyoming |
31. Dawson Case |
Mountain View High School, Mountain View, Wyoming |
32. Christopher Woody |
Mountain View High School, Mountain View, Wyoming |
33. Baylee Tims |
Mountain View High School, Mountain View, Wyoming |
34. Austin Smith |
Mountain View High School, Mountain View, Wyoming |
35. Tom Moschner |
Pasco County Schools New Port Richey, Florida |
36. Brianna Tims |
Mountain View High School, Mountain View, Wyoming |
37. Deloss Hancock |
Delta High School, Delta, Colorado |
38. Hunter Gross |
Mountain View High School, Mountain View, Wyoming |
39. Adalene Thomas |
Mountain View High School, Mountain View, Wyoming |
40. Faith Pfeifer |
Mountain View High School, Mountain View, Wyoming |
41. Hope Pfeifer |
Mountain View High School, Mountain View, Wyoming |
42. Harlan Benedict |
Mountain View High School, Mountain View, Wyoming |
43. Jason Stoddard |
Mountain View High School, Mountain View, Wyoming |
44. Kenzy Kellum |
Mountain View High School, Mountain View, Wyoming |
45. Makell Kaiser |
Mountain View High School, Mountain View, Wyoming |
46. Kylie Walker |
Mountain View High School, Mountain View, Wyoming |
47. Braeden Walk |
Mountain View High School, Mountain View, Wyoming |