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.
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Give the answer for each of the following logos:
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Arkansas Razorbacks = |
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Baylor Bears = |
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Clemson Tigers = |
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Colorado State Rams = |
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Hartwick Hawks = |
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James Madison Dukes = |
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Richmond Spiders = |
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Wake Forest Demon Deacons = |
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William & Mary Tribe = |
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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 |