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 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? __________