At a recent election a total of 93648 votes were cast for the 4 candidates, the winner exceeding his opponents by 25627, 10681 and 55924 votes respectively . How many votes cast for each candidate?

The number of votes cast for each candidate are as follows:

Candidate a = 46470

Candidate b = 20843

Candidate c = 35789

Candidate d = -9454

Step-by-step explanation:

Let A, B, C and D represents the number of votes for a (winner), b, c and d candidates. Therefore, we have:

A + B + C + D = 93648 (1)

Also, we have:

A - B = 25627

B = A - 25627 (2)

A - C = 10681

C = A - 10681 (3)

A - D = 55924

D = A - 55924 (4)

Substituting equations (2), (3) and (4) into (1) and solve for A, we have:

A + A - 25627 + A - 10681 + A - 55924 = 93648

4A = 93648 + 25627 + 10681 + 55924

4A = 185880

A = 185880 / 4

A = 46470

Substituting A = 46470 into each of equations (2), (3) and (4), we have:

B = 46470 - 25627 = 20843

C = 46470 - 10681 = 35789

D = 46470 - 55924 = -9454

Therefore, the number of votes cast for each candidate are as follows:

Candidate a = 46470

Candidate b = 20843

Candidate c = 35789

Candidate d = -9454

Additional Note:

It should be noted that Candidate d has negative votes of -9454. This is possible because a negative vote is voting system that gives votes the opportunity to indicate dislike for a candidate, without increasing the votes of other candidates, and the number of dislikes will be the number of votes that will be deducted from the votes of the candidates. Therefore, a candidate can have negative votes cast if he gets only dislikes or more dislikes than votes.

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!