Ed is booking a hotel room for his vacation. If he stays for 7 nights, the hotel will give him a $280 discount. He notices that the amount he would pay for 7 nights with the discount is the same as the amount he would pay for 5 nights without the discount.Which equation can you use to find p, the full price of the hotel room per night?Choices:(A) 7p=280−5p(B) 7p−280=5pWhat is the full price of the hotel room per night?____ $
Q. Ed is booking a hotel room for his vacation. If he stays for 7 nights, the hotel will give him a $280 discount. He notices that the amount he would pay for 7 nights with the discount is the same as the amount he would pay for 5 nights without the discount.Which equation can you use to find p, the full price of the hotel room per night?Choices:(A) 7p=280−5p(B) 7p−280=5pWhat is the full price of the hotel room per night?____ $
Set Up Equation: Let's set up the equation based on the information given. We know that the price for 7 nights with a $280 discount is the same as the price for 5 nights without the discount. This can be written as:7 nights * (full price per night) - $280 discount = 5 nights * (full price per night)So the equation is:7p−280=5p
Isolate p: Now we need to solve for p. To do this, we should isolate p on one side of the equation. We can start by subtracting 5p from both sides to get the p terms on one side:7p−5p−280=5p−5pThis simplifies to:2p−280=0
Add 280: Next, we add 280 to both sides to isolate the term with p: 2p−280+280=0+280This gives us:2p=280
Divide by 2: Finally, we divide both sides by 2 to solve for p:22p=2280This results in:p=140
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