Question

the ratio of the number of technicians to the number of apprentices in a factory is 7:2. when 1/4 of the apprentices are promoted to technicians, there are 36 mpre technicians than apprentices. find the orginal number of technicians​

Answer 1

Answer:

42

Step-by-step explanation:

Let the original number of technicians be 7x and apprentices be 2x where 'x' is their common factor.

ATQ,

1/4 × 2x + 7x = 2x - 1/4 × 2x + 36

(x+14x)/2 = (4x-x+72)/2

=> 15x = 3x + 72

=> 15x - 3x = 72

=> x = 72/12 = 6

Hence original number of technicians are -

7x = 7×6 = 42