Herr Vitami buys three kinds of frut for 40 shillings,10 shillings and 1 shilling each.
He pays 259 shillings for 100 peices of fruit.
How many of the cheapest type of fruit did he buy?
Let = number of 40-shilling fruit.
Let = number of 10-shilling fruit.
Let = number of 1-shilling fruit.
. . Note: are positive integers.
He bought 100 pieces of fruit: . .
He paid 259 shillings for them: .
Subtract (1) from (2): .
Since is positive, there are only 4 choices for
Therefore, from (1): .