Herr Vitami buys three kinds of frut for 40 schillings,10schillings and 1 schilling each. He pays 259 schilling for 100 peices of fruit. How many of the cheapest type of fruit did he buy?

Results 1 to 2 of 2

- January 31st 2007, 03:37 PM #1

- January 31st 2007, 05:44 PM #2

- Joined
- May 2006
- From
- Lexington, MA (USA)
- Posts
- 11,682
- Thanks
- 614

Hello, Rimas!

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): .

Solve for

Since is positive, there are only 4 choices for

. .

Hence: .

Therefore, from (1): .