<PRE><B>Question 1134192</B>
let x equal the number of tickets sold at the regular rate and y equal the number of tickets sold at the discount rate.


the number of tickets sold at the regular rate is 220 less than twice the number sold at the discount rate.


this means that x = 2 * y - 220.


total ticket sales are 590,000 php (philippine pisos).


you have 2 equations that need to be solved simultaneously.


the first equation is x = 2 * y - 220.


the second equation is 850 * x + 400 * y = 590,000 php.


in the second equation, replace x with the equivalent value of 2 * y - 220 from the first equation to get:


850 * x + 400 * y = 590,000 becomes 850 * ((2 * y - 220) + 400 * y = 590,000


simplify to get 1700 * y - 187,000  + 400 * y = 590,000


combine like terms and add 187,000 to both sides of the equation to get:


2100 * y = 777,000


solve for y to get y = 777,000 / 2100 = 370.


since x = 2 * y - 220, this means that x = 520.


520 * 850 + 370 * 400 = 590,000.


the solution checks out ok.


the solution is that 520 tickets were sold at the regular rate and 370 tickets were sold at the discount rate.


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