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In a recent election, Abby received 46 more votes than Barbara. If a total of 480 votes were cast for the two candidates, find out how many votes each candidate received.
a) Write the equation you would use to solve this problem, using http://www.imathas.com/cgi-bin/mimetex.cgi?%7Bb%7D as the number of Barbara's electoral votes. __________
b) After solving the equation, how many votes did Barbara receive? ________
c) After solving the equation, how many votes did Abby receive? __________
What 2 equations did you initially write down from the given information?
Quote:
Originally Posted by MarkFL2
B+46-b=480
Letbe the number of votes for Abby, and
be the number of votes for Barbara.
We are told "Abby received 46 more votes than Barbara" which gives us:
We are told "a total of 480 votes were cast for the two candidates" which gives us:
Substituting for
Now, you may solve for
Quote:
Originally Posted by MarkFL2Let
We are told "Abby received 46 more votes than Barbara" which gives us:
We are told "a total of 480 votes were cast for the two candidates" which gives us:
Substituting for
Now, you may solve for
b+46+b=480
-46 -46
b+b=434
2b/2 434/2
B=217
Correct, now you can use the original first equation to find a...