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A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that
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A ski are offers two vacation package plans. Plan A gives one person four nights lodging and three dinners for $467. Plan B gives one person five nights lodging and four dinners for $593. Assuming that the lodging and dinner costs per night are the same for both plans, how much does one dinner cost?

User Clive Van Hilten
by
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1 Answer

1 vote

Answer:

$37

Explanation:

Plan A: 4n + 3d = 467

Plan B: 5n + 4d = 593

4n + 3d = 467

4n = 467 - 3d

4n/4 = 467/4 - 3d/4

n = 116.75 - 3/4d

5n + 4d = 593

5(116.75 - 3/4d) + 4d = 593

583.75 - 3.75d + 4d = 593

0.25d = 593 - 583.75

0.25d = 9.25

0.25d/0.25 = 9.25/0.25

d = 37

User Liam McArthur
by
3.9k points
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