SOLUTION: tom's family is planning a 7-day trip to texas. they want to spend time in both san antonio and dallas. they estimate that it will cost $275 per day in san antonio and $400 per day

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Question 225605: tom's family is planning a 7-day trip to texas. they want to spend time in both san antonio and dallas. they estimate that it will cost $275 per day in san antonio and $400 per day in dallas. Their budget for the 7 days is $2300. How many days should they spend in each city?
275x+400y=2300
?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=7
X=7-Y
275x+400y=2300
275(7-Y)+400Y=2300
1,925-275Y+400Y=2300
125Y=2300-1,925
125Y=375
Y=375/125
Y=3 DAYS IN DALLAS.
X-3=4 DAYS IN SAN ANTONIO.
PROOF:
275*4+400*3=2,300
1,100+1,200=2,300
2,300=2,300