<PRE><B>Question 1202535</B>
total sales were 2878.
x = number of adult tickets.
y = number of senior tickets.
adult tickets are 11 each and seniot tickets are 8 each.
equation for that is:
11x + 8y = 2878
number of senior tickets sold was 25 less than twice the number of adult tickets.
equation for that is:
y = 2x - 25
replace y with 2x - 25 in the first equation to get:
11x + 8y = 2878 becomes:
11x + 8 * (2x - 25) = 2878
simplify to get:
11x + 16x - 200 = 2878
combine like terms and add 200 to both sides of the equation to get:
27x = 3078.
solve for x to get:
x = 114.
siince y = 2x - 25, then y = 203.
11x + 8y = 2878 becomes 11*114 + 8*203 = 2878, confirming that the values for x and y are good.
your solution is that they sold 114 adult tickets and 203 senior tickets.
the number of senior tickets is 25 less than twice the number of adult tickets.
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