SOLUTION: A music festival sold two types of tickets, day passes and weekend passes. The day passes were $137, and the weekend pass was $150. The total ticket sales for the festival were $48

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: A music festival sold two types of tickets, day passes and weekend passes. The day passes were $137, and the weekend pass was $150. The total ticket sales for the festival were $48      Log On


   

Question 1146552: A music festival sold two types of tickets, day passes and weekend passes. The day passes were $137, and the weekend pass was $150. The total ticket sales for the festival were $484,608. They sold 374 more day passes than weekend passes. How many day passes and how many weekend passes were sold?
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of day passes
Let +b+ = number of weekend passes
-----------------------------------------------
(1) +137a+%2B+150b+=+484608+
(2) +a+=+b+%2B+374+
---------------------------------------
Plug (2) into (1)
(1) +137%2A%28+b+%2B+374+%29+%2B+150b+=+484608+
(1) +137b+%2B+51238+%2B+150b+=+484608+
(1) +287b+=+433370+
(1) +b+=+1510+
and
(2) +a+=+b+%2B+374+
(2) +a+=+1510+%2B+374+
(2) +a+=+1884+
----------------------------
1,884 day passes
1,510 weekend passes
----------------------------
check:
(1) +137a+%2B+150b+=+484608+
(1) +137%2A1884+%2B+150%2A1510+=+484608+
(1) +258108+%2B+226500+=+484608+
(1) +484608+=+484608+
OK

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
d day passes
n weekend passes

system%28137d%2B150n=484608%2Cd-n=374%29

137%28374%2Bn%29%2B150n=484608-----------solve for n from this.
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