Posted by **Ben** on Saturday, September 1, 2007 at 7:41am.

PLS HELP!!!!

Some children were sharing oranges. If each child took 3 oranges, there would be 2 oranges left over. But if each child took 4 oranges, there would be 2 oranges short. How many oranges were there?

- maths -
**drwls**, Saturday, September 1, 2007 at 10:32am
Here's how to do it with algebra.

Let x be the number of children and y be the number of oranges that they share. You know two things. They are

3x = y -2

4x = y +2

Subtract the first equation from the last.

x = 4

Now use the first equation to gey y:

12 = y -2

y = 14.

There are 14 oranges for 4 children

You could also do it by guessing the number of kids, starting with 1, then 2 etc. until you get a number that works.

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