Question 1132796

.  Adult tickets cost 5 dollars and child tickets cost 2 dollars.  The box office recorded $190 in ticket sales.  A total of 50 tickets were sold.  How many of those tickets were child tickets?
Write a system and solve to answer the question.  One of your equations is x + y = 50.
<pre>Since you want one of the equations to be x + y = 50, then let the number of children's tickets be x, which makes the number of adults' tickets, y
Then x + y = 50 becomes: y = 50 - x ----- eq (i)
Then other equation is: 2x + 5y = 190 --- eq (ii)
5(50 - x) + 2x = 190 ------ Substituting 50 - x for y
250 - 5x + 2x = 190
- 5x + 2x = 190 - 250
- 3x = - 60  
x, or number of children's tickets = {{{highlight_green(matrix(1,3, (- 60)/(- 3), "=", 20))}}}
SUBSTITUTION, in this case is much easier than ELIMINATION. Let no-one tell you otherwise!