Question

WORD PROBLEMS INVOLVING SIMULTANEOUS EQUATIONS

Bus tickets cost RS 30 for an adult and Rs 20 for a child.
There are x adults and y children on a bus.
The total number of people on the bus is 50.
The total cost of the 50 tickets is Rs 1320.
Find the number of adults and te number of children on the bus.

Answer 1

Explanation:

well, the mathematical structure is explicitly described in the text :

x + y = 50

30x + 20y = 1320

the first equation tells us

x = 50 - y

and then using this in the second equation

30(50 - y) + 20y = 1320

1500 - 30y + 20y = 1320

1500 - 10y = 1320

1500 = 1320 + 10y

180 = 10y

y = 18

x = 50 - y = 50 - 18 = 32

so, there were 32 adults and 18 children in the bus.