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madam [21]
3 years ago
7

A hotel must increase its price by 5% per night, if the new price is $168 per night. What was the original cost?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
5 0

Hey there! I'm happy to help!

We see that if you add 5% to the original cost, we have $168 as our cost. This means that 105% of the original cost is 168. Let's set up an equation to find the original cost. Let's call our original cost c.

To turn a percent into a decimal, you divide by 100.

1.05c=168

We divide both sides by 1.05.

c=160

Therefore, the original cost was $160.

Have a wonderful day! :D

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Answer: $37.50

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To find the first blank, just replace x in the equation with 12 and solve.
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For blank 2: because x represents the number of apps on her phone, and x is given 12 for this problem, she bought 12 apps.

For blank 3: You would mention how many apps she got twice, so not the first option or the third option. It should be the answer from the first blank because the equation represents how much money is in her account.
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