Rico bought 3 adult tickets and 5 child tickets for a total of $50. Sasha bought 1 adult ticket and 5 child tickets for a total of $31.

Question

The system of linear equations shown represents this situation, where x is the cost of an adult and y is the cost of a child ticket.

3x+5y=50

x+ 5y= 31

How much will Julia pay for 5 adult tickets and 3 child tickets? 

Answer 1

3x+5y = 50

x +5y =31 subtract 2nd equation from the 1st to eliminate y

2x =19

x= $9.50 for an adult ticket

y=(31-x)/5 = (31-9.5)/5 = 21.5/5 = $4.30 for a child ticket

5x+3y = 5(9.5)+3(4.3) = 47.5 + 12.9= $60.40 for 5 adult and 3 child tickets