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Votes received by Wayne is 112
<em><u>Solution:</u></em>
To find: votes received by Wayne
Let the vote received by Wayne be "x"
<em><u>Juan received 4 times as many votes as Wayne</u></em>
Therefore,
Juan votes = 4 times as many votes as Wayne
Juan votes = 4x ---- eqn 1
<em><u>Neal received twenty less votes than Juan</u></em>
Neal votes = twenty less votes than Juan
Neal votes = Juan votes - 20
Neal votes = 4x - 20 ---- eqn 2
<em><u>Kerry got half as many votes as Neal</u></em>
Kerry votes = half of neal votes
Kerry votes = ---- eqn 3
The total votes cast in the election was 1,202
Wayne votes + Juan votes + Neal votes + Kerry votes = 1202
Plug in eqn 1 , eqn 2, eqn 3
Therefore votes received by Wayne is 112