Question

The ratio of the wages of A to B is 3:5. The ratio of the wages of C to B is 3:2.
If the wages earned by C is 3600 more than that earned by A, then find the
total wages of all the three.
(1) 12.400
(2) 15,400
(3) * 1,22.400
(4) 12,240​

Answer 1

Answer:

12,400

Step-by-step explanation:

A/B =3/5 ---------(1)

C/B=3/2 ---------(2)

From Eq. 1 B = 5A/3

C=A+3600

Sub in C/B=3/2

(A+3600) /B = 3/2

(A+3600) /(5A/3) = 3/2

(A+3600) × 3/5A = 3/2

(3A+10800) /5A = 3/2

On cross multiplication:

(3A+10800) × 2 = 5A × 3

6A+21600 = 15 A

15A - 6A = 21600

9A = 21600

A = 2400

B = 5A/3

B= 5(2400) /3

B = 12000/3

B= 4000

C = A + 3600

C= 2400 + 3600

C= 6000

A+B+C= 2400+4000+6000

A+B+C= 12,400