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A college basketball game was attended by 1243 people. Student tickets cost $2 and all others cost $8. The?
A college basketball game was attended by 1243 people. Student tickets cost $2 and all others cost $8. The total receipts were $5018. How many students attended the game?
10 Answers
- Anonymous1 decade agoFavorite Answer
It depends what division this is. I would assume that NCAA would have raked in significantly more revenue though. Oh well, perhaps they were in the losing end of the season.
- 006Lv 61 decade ago
You need to write two equations and substitute.
S + O = 1243
2S + 8O = 5018
O = 1243 - S
2S + 8(1243 - S) = 5018
2S + 9944 - 8S = 5018
6S = 4926
S = 821
Source(s): Double check this because I didn't. - Anonymous5 years ago
student tickets = s adult tickets = a s + a = 600 1.5*s + 2.5*a = 1020 multiply first line by 1.5 to make s equal in both equations 1.5s + 1.5a = 900 1.5s + 2.5a = 1020 subtract the first line from the second one a = 120 sub it back into the original equation of s + a = 600 s + 120 = 600 s = 480 student tickets = 480 adult tickets = 120
- 1 decade ago
x=number of students
y=number of others
2*x+8*y=5018
x+y=1243
x=1243-y
plug this into the first equation for x
2*(1243-y)+8*y=5018
2486-2y+8y=5018
2486+6y=5018
6y=2532
y=422
x+y=1243
x+422=1243
x=821
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- 1 decade ago
5018=2x+8x(1243)
5018=10x(1243)
-1243 -1243
3775=10x
-----_______-__
3775 divided by 10 equals 377.5
answer: 377.5
Source(s): I hope i got it right - Anon. :)Lv 41 decade ago
y = # of students
x = # of others
1) 2y + 8x = 5018
2) y + x = 1243 -> 3) y = 1243 - x
sub. 3 into 1
2(1243-x) + 8x = 5018
solve for x.
sub. wat u get for x into 2
y + x = 1243
here u will get the value for y.
Result
U have the x and y values and look at wat i wrote on the top.
- Anonymous1 decade ago
how many non students attended?
- Anonymous1 decade ago
What college?