10 apples = 1cents

5 oranges = 2cents

2 pear = 5cents

Using at least 1 of each, get 100 fruits and 1 dollar. WITHOUT GUESSING.

Printable View

- Sep 29th 2011, 05:00 PMpvpkillerxOdd question
10 apples = 1cents

5 oranges = 2cents

2 pear = 5cents

Using at least 1 of each, get 100 fruits and 1 dollar. WITHOUT GUESSING. - Sep 29th 2011, 07:03 PMpickslidesRe: Odd question
Here's a start

Making A = number of apples, O = number of oranges and P = number of pears

A+O+P=100

and

0.01A+0.02O+0.05P=$1 - Sep 29th 2011, 08:05 PMpvpkillerxRe: Odd question
- Sep 29th 2011, 08:07 PMpickslidesRe: Odd question
Yep, you'll have to find a third.

- Sep 29th 2011, 09:32 PMSorobanRe: Odd question
Hello, pvpkillerx!

Quote:

Using at least one of each, get 100 fruits and 1 dollar ... without guessing.

Let: .

There are 100 fruits: .

They cost 100 cents: .

Multiply [2] by 10: .

. . . . Subtract [1]: .

. . . . And we have: . . .

. .

Since is an integer, must be divisible by 8.

. . Hence: .

Substitute into [1] and solve for A.