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Five students were running for class president. Ben received 20 more votes than Jack and 40 less than Anna. Elaina received 20 votes less than Parth, who received more votes than Anna, and 50 votes more than Jack. Which list correctly shows the results from the most to the least

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Answer:

  1. parth
  2. anna
  3. elaina
  4. ben
  5. jack

Step-by-step explanation:

  • let, jack got x votes.
  • so, ben votes= 20+x [from the statement : Ben received 20 more votes than Jack]
  • anna votes= 60+x

[ben got 40 less than anna. so, anna's votes -40 = ben's votes = 20+x.

so, anna's votes =60+x ( addind 40 on both sides)]

  • elaina = 50+x[from the statement:Elaina received 50 votes more than jack]
  • parth=70+x [ as elaina got 20 less than parth, parth's votes -20=50+x.so, part's votes=70+x]
  • as x is obviously positive, now we can rank them as shown(most to least) :
  1. parth
  2. anna
  3. elaina
  4. ben
  5. jack

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