Question

Determine *who finished where* in each event.

thx​

Answer 1

Answer: Vault = Emery, Chris, Alex, Blake

Beam = Chris, Blake, Emery, Alex

Floor = Blake, Emery, Chris, Alex

Explanation:

Make a table and start filling in what you know with the given clues

`\text{Chris came in third on the floor:}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&&&&\\\text{Beam}&&&&\\\text{Floor}&3&&&\end{array}`

`\text{Blake came in last on the vault:}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&&&&4\\\text{Beam}&&&&\\\text{Floor}&3&&&\end{array}`

`\text{The athlete who won the vault came second on the floor:}\\\text{Emery beat Alex in every event}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&&&1&4\\\text{Beam}&&&&\\\text{Floor}&3&&2&\end{array}`

`\text{The athlete who came second in the vault, won the beam:}\\\text{Emery beat Alex in every event}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&2&&1&4\\\text{Beam}&1&&&\\\text{Floor}&3&&2&\end{array}`

`\text{The athlete who came second on the beam, won the floor:}\\\text{Emery beat Alex in every event}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&2&&1&4\\\text{Beam}&1&&&2\\\text{Floor}&3&&2&1\end{array}`

`\text{Now fill in the blanks.}\\\text{Remember that Emery beat Alex in every event}\\\\\begin{array}c&\underline{\text{Chris}}&\underline{\text{Alex}}&\underline{\text{Emery}}&\underline{\text{Blake}}\\\text{Vault}&2&3&1&4\\\text{Beam}&1&4&3&2\\\text{Floor}&3&4&2&1\end{array}`

Chris finished 2nd on Vault, 1st on Beam, and 3rd on Floor

Alex finished 3rd on Vault, 4th on Beam, and 4th on Floor

Emery finished 1st on Vault, 3rd on Beam, 2nd on Floor

Blake finished 4th on Vault, 2nd on Beam, 1st on Floor