Here is a pretty little tangle from the ordinary affairs of life, which the good housewife solved in
a minute, but which drove a mathematician to the verge of insanity.|
Smith, Jones and Brown were great friends. After Brown's wife died, his niece kept house for him. Smith was also a widower, and lived with his daughter. When Jones got married, he and his wife suggested that they all live together. Each one of the party (male and female) was to contribute $25.00 on the first of the month for household expenses, and what remained at the end of the month was to be equally divided.
The first month's expenses were $92.00. When the remainder was distributed, each received an even number of dollars without fractions. How much money did each receive, and why?