I have no idea how to start this

Question

Tanya bought five adult tickets and one child's ticket to a movie for $31.30. Li bought two adult tickets and three children's tickets for $19.80.

Find the cost of one adult ticket and the cost of one children's ticket.

 

 

Answer 1

Let the cost of an adult ticket be x and y be the cost of a child's ticket now using this I'm going to form two equations

 

5x + y = 31.30

 

2x + 3y = 19.80

 

Multiply the top equation by -3

 

-15x - 3y = -93.90

 

Now add this to equation 2

 

-13 x = -74.10

 

x = 5.7

 

So the cost of an adult ticket is $5.70

 

Substitute this value for x in the first equation

 

(5.70)5 + y = 31.30

 

Y = 31.30 - 28.50

 

y = 2.80

 

The cost of a child ticket is $2.80

There you go