Henry Ernest Dudeney/Puzzles and Curious Problems/51 - Sharing the Apples

by : $51$

 * Sharing the Apples
 * Eight children had a basket containing $32$ apples.
 * They divided them amongst themselves as follows:
 * Anne got one apple,
 * Mary two,
 * Jane three,
 * and Kate four.
 * Ned Smith took as many as his sister,
 * Tom Brown twice as many as his sister,
 * Bill Jones three times as many as his sister,
 * and Jack Robinson four times as many as his sister.


 * What are the full names of the girls?