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Write a system of equations for each scenario and solve.In the student government election, Maddie received 20% more votes than her opponent. A total of 1485 votes were cast for both candidates. How many votes did Maddie receive?



Answer :

Let

x -----> number of votes received by Maddie

y ----> number of votes received by her opponent.

we have that

100%+20%=120%=120/100=1.2

x=1.2y -------> equation A

x+y=1,485 ------> equation B

solve the system by substitution

substitute equation A in equation B

1.2y+y=1,485

solve for y

2.2y=1,485

y=675 votes

Find the value of x

x=1.2(675)

x=810 votes

therefore

the answer is 810 votes

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