The $75 cost for a party was to be shared equally by all those attending. Since five more people attended than was expected, the price per person dropped by 50 cents. How many people attended the party?
Please, need help now!
2007-02-03 09:05:17 · 4 answers · asked by Miraj S 2 in Education & Reference ➔ Homework Help
If there were 25 people, it would be $3.00 each.
If there were 30 people, it would be $2.50 each.
2007-02-03 09:08:55 · answer #1 · answered by thebobcatreturns 3 · 1⤊ 1⤋
if there were x people who were supposed to attend, the price per person would be 75/x
since 5 more people attended, the new price per person is 75/(x+5)
since the new price per person is 50 cents less
you get 75/x -0.5=75/(x+5)
75(x+5) /x -0.5(x+5) = 75
75x + 375 -0.5x^2 -2.5x = 75x
0=0.5x^2 + 2.5x -375
multipy by 2 to get rid of decimals
0=x^2 + 5x - 750
use quadratic formula:
x= [-5 +/- sqrt(25-4*1*-750) ]/ 2
x= [-5 +/- sqrt(3025) ]/2
x= [-5 +/- 55 ] / 2
x= 50/2 or -60 /2
x=25 or -30
obviously -30 won't work, so the answer is x=25
since x is the number of people who were supposed to come,
add 5 to get that the answer is 30
sure enough it works
75/25 -.05 = 75/30
3-.05 = 2.5
2.5=2.5
2007-02-03 17:34:41 · answer #2 · answered by ... 3 · 1⤊ 0⤋
9
2007-02-03 17:09:44 · answer #3 · answered by windmajik 2 · 0⤊ 1⤋
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2007-02-03 17:09:49 · answer #4 · answered by miss pochacco 3 · 0⤊ 1⤋