SOLUTION: 1.The sum of the square of three consecutive integers is 50. Find all possible sets of the three numbers? Please explain or show work 2.a FRACTION HAS A VALUE OF 3/4. iF 4 is ad

Question 441676: 1.The sum of the square of three consecutive integers is 50. Find all possible sets of the three numbers? Please explain or show work
2.a FRACTION HAS A VALUE OF 3/4. iF 4 is added to its numerator and 8 is subtracted from its denominator the value of the fraction is 1. what is the orginal fraction?
3. Suppose a movie theater sold 200 tickets and student tickets for a total of $980. if student tickets cost 4.50$ and adult tickets cost 6.50$. How many students and how many tickets were sold?

Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
x2+(x+1)2+(x+2)2=50
x2+x2+2x+1+x2+4x+4=50
3x2+6x=45
x2+2x-15=0
(x+5)(x-3)=0
x=-5 or 3
Throwing out the negative answer, we get the numbers to be 3,4, and 5.
----------------------------
x/y=3/4
4x=3y
3(x+4)=4(y-8)
3x+12=4y-32
3x=4y-44
12x=16y-176
9y=16y-176
7y=176
y=25.143
---------------------------
m+n=200
6.50m+4.50n=980
65m+45n=9800
45m+45n=9000
20m=800
m=40
n=160
40(6.5)+160(4.5)=720+260=980..

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