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

The $75 cost for a party was to be shared equally by all of those attending. Since five more people attended than was expected, the price per person dropped by 50 cents. How many people attended the party?

- Algebra -
**Reiny**, Monday, February 21, 2011 at 9:41pm
original 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.

## Answer this Question

## Related Questions

- algebra - Sharing cost. The members of a flying club plan to share equally the ...
- algebra - Sharing cost. The members of a flying club plan to share equally the ...
- algebra repost - Sharing cost. The members of a flying club plan to share ...
- algebra - If Sam Stevens and four other friends want to schedule a 6 hour ...
- Algebra - A moving picture theater usually took in $220 an evening on ticket ...
- Math - A shopper asked for 50 cents worth of apples. The shopper was surprised ...
- math - sweets are shared equally among 20 children at a party. if there were 1 ...
- Alg I - One type of decorative ribbon regularly costs $3.59 per yard. When the ...
- algebra 2 - A drama club is planning a bus trip to new york city to see a ...
- Math - At a fair run by a local charity organization, it costs 50 cents to try ...