Question

Se consideră proporția 7x/3y este egală cu 4/3 determinați rapoartele 1. 2y-x/x 2. 2x-y/y 3. 4x-y/x

Answer 1

7x/3y = 4/3 => x/y = 4/3 : 7/3 = 4/3 x 3/7 = 4/7
Deci x/y = 4/7

1) (2y-x)/x = (2y/y - x/y)/(x/y) = (2 - 4/7)/(4/7) = (14/7-4/7) : 4/7 = 10/7 x 7/4 = 40/4 = 5/2

2) (2x-y)/y = (2x/y - y/y)/(y/y) = (2*4/7 - 1)/1 = 8/7 - 1 = 8/7 - 7/7 = 1/7

3) (4x-y)/x = (4x/y - y/y)/(x/y) = (4*4/7 - 1)/(4/7) = (16/7-1) : 4/7 = (16/7 - 7/7) x 7/4 = 9/7 x 7/4 = 9/4