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### Golf Balls

```
Date: 04/13/97 at 17:55:05
From: Anonymous
Subject: Golf Balls

I need help pretty quickly on a problem.  It goes like this:
Angie bought some golf balls for \$14.  If each ball had cost \$0.25
less she could have bought one more ball for the same amount of money.
How many golf balls did Angie buy?

solve it, would be appreciated.

Thanks.  Mike Blea
```

```
Date: 04/14/97 at 10:35:53
From: Doctor Anthony
Subject: Re: Golf Balls

Let x = number of golf balls Angie bought.
c = cost of each ball.

Then

cx = 14  so  c = 14/x.

We also have

(c-.25)(x+1) = 14
(14/x - .25)(x+1) = 14
14 + 14/x - .25x - .25 = 14
14/x - .25x - .25 = 0
14 - .25x^2 - .25x = 0
.25x^2 + .25x - 14 = 0
x^2 + x - 56 = 0

(x-7)(x+8) = 0   and so x = 7    c = 14/x = 2.

So Angie bought 7 golf balls at \$2 each.

It is also true that 8 x 1.75 = 14  so she could have bought 8 golf
balls if the cost had been \$1.75

-Doctor Anthony,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
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