Question

Word problem: a cruise ship has 680 rooms with a revenue $92,500.00. Rooms with a view cost $160 per night and rooms without a view costs $105per night. how many rooms are there of each

Answer 1

OK let's get you started...
Let
v = # of cabins with a view
w = # of cabins with 4 walls.
Can you create an equation using the 680 data point?

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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Answer 7

OK we know that the sum of view and nonview cabins equals 680.
<<-- This is equation 1.
The next equation is the tough one. Let's break-it down:
How much money do all the View cabins earn?
How much do the wall cabins earn?
For equation 2 you'll write and expression that adds those together to get a total revenue of $92,500,000.00

Answer 8

Here's a hint:
Eqn 1: __ v + __ w = 680
Eqn 2: (???)*v +(???)*w = 92500000.00

Answer 9

X+y=680
160x+105y=92500.00
=y=680-x
160x+105(680-x)=160x+71400-105X=92500.00
=55x=21100
x=384
I am doing this correctly?

Answer 10

Yes - good job. Now use "384" and substitute into equation #1 to find the number of wall-only cabins. Make sure you label your answer.

Answer 11

384+y=680
680-384=296
y=296

Yes?

Answer 12

Looks good - obviously it works in the first equation. To be extra safe you can plug both values back into the second to check your answer.
Label you numbers! <<--Makes the teacher happy!

Answer 13

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Answer 14

Good luck!