Associated Topics || Dr. Math Home || Search Dr. Math

### Stickers

```
Date: 8/22/96 at 9:17:24
From: Anonymous
Subject: Stickers

Jack and Paul together have 270 stickers.  Jack will have twice as
many stickers as Paul if Paul gives him 18 stickers.
a) Find the number of stickers Paul starts with.
b) How many more stickers does Jack have than Paul at the beginning?
```

```
Date: 8/30/96 at 14:38:32
From: Doctor Jerry
Subject: Re: Stickers

Let J be the number of stickers Jack has at the beginning and P be the
number of stickers Paul has at the beginning.  The first sentence says
that

J + P = 270.

The second sentence is trickier and you should read it very, very
carefully.  After Paul gives Jack 18 stickers, Paul will have P-18
stickers and Jack will have J + 18.  We are told that

J + 18 =2 (P - 18).

So, we have the two equations

J + P = 270
J + 18 = 2P - 36.

If you subtract these equations, the J will go away.  The result is

P - 18 = 270 - (2P - 36) = 270 - 2P + 36.

Take the -2P to the left and the -18 to the right.  This gives

3P = 270 + 36 + 18
3P = 324
P = 108.

Since J + P = 270, J = 270 - 108 = 162.

So, the answer to
a) is 108 and the answer to
b) is J - P = 162 - 108 = 54.

-Doctor Jerry,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Word Problems

Search the Dr. Math Library:

 Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words

Submit your own question to Dr. Math
Math Forum Home || Math Library || Quick Reference || Math Forum Search