ISolve by substitution
n a town election, the winning candidate had 220 more votes than the loser. If 810 votes were cast in all, how many votes did each candidate receive?
Thank you everyone...
2006-08-23 04:55:50 · 8 answers · asked by sistermoon 4 in Education & Reference ➔ Homework Help
given
x = the loser
x + 220 the winner
810 = total votes
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The formula
x + x + 220 = 810
-220 -220
Subtract - 220 from both sides
2x = 590
2x/2 = 590/2
Dividing both sides by 2
x = 295
Insert the x value ( 295) into the formula
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x + x + 220 = 810
295 + 295 + 220 = 810
295 + 515 = 810
810 = 810
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The looser recieved 295 volts
The winner recieved 515 volts
2006-08-23 05:28:40 · answer #1 · answered by SAMUEL D 7 · 1⤊ 0⤋
Identify what you are trying to find and give it a variable - in this case, the number of votes. Choose say, n, to represent the number of votes a candidate receives. The winning candidate had 220 more than the loser. The total number of votes is 810.
n = the number of votes by the loser
n + 220 = the number of votes of the winner
810 = the total number of votes
n + n + 220 = 810
2n + 220 = 810
2n + 220 - 220 = 810 - 220
2n = 590
2n/2 = 590/2
n = 295
n + 220 = 515
The loser had 295 votes
The winner had 515 votes
2006-08-23 05:17:33 · answer #2 · answered by tigerpu2 1 · 1⤊ 0⤋
Say winner polled "a" votes and loser polled "b" votes.
then,
a + b = 810 (1)
But a = b + 220 (2)
substituting (2) in (1) for a,
b + 220 +b = 810
2b = 810-220
= 590
so b = 295
and a = 515
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2006-08-23 05:08:09 · answer #3 · answered by cheyuta 2 · 2⤊ 0⤋
let the winnin candidate be x.
and the losin candidate be y.
x+y=810
x is 220 more than y, so we can say that:
y+y=810 - 220 = 590
therefore, 2y is 590 so y = 590/2
that is 295.
x = 295 + 220 = 515
Ans: x=515, y=295
2006-08-23 05:03:31 · answer #4 · answered by angelz 1 · 2⤊ 0⤋
loser had x votes
winner had x + 220
total votes = x + x + 220 = 810
2x = 810 - 220
x = 295
loser had 295
winner had 515
2006-08-23 04:59:04 · answer #5 · answered by Will 4 · 1⤊ 0⤋
Why end at algebra? Our numerals are Arabic too. so which you need to by no ability write them. Refuse to apply any receipts, tax varieties, mail with numbered addresses, and telephones. Oh, and don't use any Bibles the two that have numerals for the financial ruin numbers. in certainty, Yahoo solutions supplies your point style with the help of a numeral, so do no longer examine this.
2016-12-17 15:53:08 · answer #6 · answered by ? 4 · 0⤊ 0⤋
sorry, I do not speak algebra,
maybe winner 595 lose 225, I like say before speak algebra
2006-08-23 05:03:32 · answer #7 · answered by justmejimw 7 · 0⤊ 1⤋
i hope you're in 6th grade or less...
2006-08-23 05:02:13 · answer #8 · answered by Anonymous · 0⤊ 2⤋