Bus fare between Rajpur and Mirpur for one Adult is six times the fare of one child. If an adult's bus fare is ₹114/-, how much amount will be paid by 4 adults and 5 children together for travelling the same distance?

Let us assume the one adult fare be a and one child fare be c.
According to question,
Bus fare of one Adult is six times the fare of one child.
a = 6c ........................(1)
If an adult's bus fare is 114.
a = 114
put the value of a in equation (1). We will get
6c = 114
⇒ c = 114/6
⇒ c = 19
Now we have to calculate amount paid by 4 adults and 5 children for Bus fare
Bus fare of 4 adults and 5 child = 4a + 5c
Put the value of a and c in above equation. We will get
⇒ Bus fare of 4 adults and 5 child = 4 x 114 + 5 x 19
⇒ Bus fare of 4 adults and 5 child = 456 + 95
⇒ Bus fare of 4 adults and 5 child =₹/- 551