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31.03.2020 •
Mathematics
Blue Water Resorts offers a vacation package starting at $1400 for a 5 night stay. Each additional night adds
$224 to the package price. Sea Breeze Resort offers a similar package, starting at $1050 for a 5 night stay.
This vacation is available up to 14 nights, with each additional night past the fifth bringing a 16% increase in
the price. For what length of vacation does each resort cost about the same?
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Ответ:
multiiply first euation by 3 and multiply 2nd equation by 2 and ad them
9x-6y=3
16x+6y=4 +
25x+0y=7
25x=7
divide both sides by 25
x=7/25
sub back
3x-2y=1
3(7/25)-2y=1
21/25-2y=1
note: 1=25/25
minus 21/25 fromboth sides
-2y=4/25
divide both sides by -2 (or times -1/2)
y=4/-50
y=-2/25
x=7/25
y=-2/25
(-2/25,7/25)