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Mashcka [7]
3 years ago
7

2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for

each room.
(a) Write an equation to represent the cost.
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation.
(c) Suppose the hotel plans to tip the carpet cleaners $40. In that case, how many rooms can the hotel get cleaned for $200? Write and solve an equation.

Please help me..
Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

a

Step-by-step explanation:

to determine cost u need to have a equation to show cost per room.and total cost of rooms

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Answer:

He paid $6,000 in taxes.

Step-by-step explanation:

His final amount after taxes is $24000.  In order to obtain this number we had to tax 20% of the total (Note that 100%-20%=80%).  In other words if he was taxed 20% he took home 80% of what he was paid.  Therefore mathematically we have:

0.8A_{pre-tax}=A_{taxed}

Since we know he was left with $24000 after taxes then:

0.8A_{pre-tax}=24000\\\\\frac{0.8A_{pre-tax}}{0.8}=\frac{24000}{0.8}\\\\A_{pre-tax}=\frac{24000}{0.8}\\\\A_{pre-tax}=30000

So originally he had $30,000.  So how much did he pay in taxes? We can calculate the difference of both pretax and after tax and we get:

$30,000 - $24,000= $6,000 taxed

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