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January 28, 2015

January 28, 2015

Posted by **Andrew** on Monday, February 21, 2011 at 9:28pm.

- Algebra -
**Reiny**, Monday, February 21, 2011 at 9:41pmoriginal cost per person = 75/x

new cost per person = 75/(x+5)

75/x - 75(x+5) = 1/2

multiply each term by x(x+5)

75(x+5) - 75x = (1/2)x(x+5)

times 2

150x + 750 - 150x = x^2 + 5x

x^2 + 5x - 750 = 0

(x-25)(x+30) = 0

x = 25 or x = -30 , but clearly x > 0

x=25

originally 25 had planned to attend, but 30 actually did.

check:

cost with 25 = 75/25 = $3.00

cost with 30 = 75/30 = $2.50

it cost 50 cents less.

Answer is correct.

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