Question

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

Answer 1

Explanation:

3x + 5y = 50

x + 5y = 31

use substitution

x = 31-5y

3(31-5y) +5y = 50

93 -15y + 5y = 50

93 - 10y = 50

--10y = -43

y = 43/10 = $4.30 for kids

now solve for x

x + 5(4.30) = 31

x + 21.5 = 31

x = $9.5 for adults