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 thetotal wages of all the three.(1) 12.400(2) 15,400(3) * 1,22.400(4) 12,240 About the author Aubrey
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 Reply
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