SEARCH HOME
 Math Central Quandaries & Queries
 Question from carol: A train leaves Erie with twice as many women as men. At York, 17 men get on and 16 women . How many men and women were originally on the train?off. There are now the same number of men as women

Hi Carol,

The technique here is to first decide which of the unknown quantities you and to designate by a letter. Here the important unknown quantities are the number of women and women who where on the train in Erie. Thus I would let $W$ be the number of women on the train in Erie and $M$ be the number of men on the train in Erie.

A train leaves Erie with twice as many women as men.

Said in terms of $W$ and $M$ that is

$W = 2 \times M.$

At York, 17 men get on and 16 women get on

In terms of $W$ how many women are on the train now? In terms of $M$ how many men are in the train now? There are the same number so know you have a second equation in $W$ and $M.$ Solve for $W$ and $M.$