Answer:
Maddie got 810 votes
Step-by-step explanation:
We'll call Maddie's votes x, and her opponent's votes y.
x + y = 1485
x = y + 0.20y (because she got the same number of votes as her opponent, PLUS another 20% of that number. Divide 20% by 100 to get the decimal equivalent) This can also be written as x = 1.2y
So our system is
x + y = 1485 and
x = 1.2y
Substitute the second equation's value for x into the first equation:
1.2y + y = 1485 then solve for y
2.2y = 1485
divide both sides by 2.2
y = 675
substitute that in and solve for x
x + y =1485
x + 675 = 1485
subtract 675 from both sides
x = 810
Please let me know if you have questions on this answer. Hope it helps.
