SOLUTION: In 2006, two tickets to a Rolling Stones concert and two tickets to a Jimmy Buffet concert cost, on average, a total of $758. At those prices, four tickets to see the Stones and tw

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In 2006, two tickets to a Rolling Stones concert and two tickets to a Jimmy Buffet concert cost, on average, a total of $758. At those prices, four tickets to see the Stones and tw      Log On


   

Question 327769: In 2006, two tickets to a Rolling Stones concert and two tickets to a Jimmy Buffet concert cost, on average, a total of $758. At those prices, four tickets to see the Stones and two tickets to see Jimmy Buffet cost $1,250. Find the average cost of a Rolling Stones and a Jimmy Buffet ticket in 2006.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2S+2B=758 SUBTRACT THIS EQUATION FROM THE ONE BELOW.
4S+2B=1,250
-2S-2B=-758
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2S=492
S=492/2
S=246 COST OF A STONES TICKET.
2*246+2B=758
492+2BB=758
2B=758-492
2B=266
B=266/2
B=133 COST OF A BUFFET TICKET.
PROOF:
4*246+2*133=1,250
984+266=1,250
1,250=1,250