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Winston's birthday party will cost $18 if he invites 6 guests. If there are 27 guests, how much will Winston's birthday party cost? Assume the relationship is directly proportional.

Question

Winston's birthday party will cost $18 if he invites 6 guests. If there are 27 guests, how much will Winston's birthday party cost? Assume the relationship is directly proportional.

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Solution

Step 1: Identify the given values. Winston's birthday party costs $18 for 6 guests.

Step 2: Find the cost per guest. To do this, divide the total cost by the number of guests. So, 18÷6=18 ÷ 6 = 3 per guest.

Step 3: Now that we know the cost per guest, we can find out how much it will cost for 27 guests. Multiply the cost per guest by the number of guests. So, 3x27=3 x 27 = 81.

Therefore, Winston's birthday party will cost $81 if he invites 27 guests.

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