In an election for class president , Maria finished first, Kevin second, Carlos third, and Diane fourth. Maria received 91 votes, and Diane received 32 votes. If a total of 224 votes were cast for the four candidates, what is the minimum number of votes that Kevin could have received?
A) 51
B)55
C)56
D)70
Answers
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Answer: A) 51
Explanation:
Total votes = 224
⇒ Maria + Kevin + Carlos + Diane = 224
⇒ 91 + Kevin + Carlos + 32 = 224
⇒ Kevin + Carlos = 224 - 91 - 32 = 101
For Kevin to be in the second place with minimum votes, he must get 1 vote more than Carlos. Hence,
Kevin = Carlos + 1 ⇒ Carlos = Kevin - 1
We replace Carlos with (Kevin - 1) in the equation and get our answer
Kevin + Carlos = 101
⇒ Kevin + (Kevin - 1) = 101
⇒2×Kevin = 102 ⇒ Kevin = 51
Hope it helped
Answered by
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Answer:51
Step-by-step explanation:
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