Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?

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ajanderson2057 ajanderson2057

13-12-2021
Mathematics

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Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen’s mother want one adult for every 25 of her friends. The cost of food is $20 for every four of her friends, and the adults eat for free. If a total of 116 people (including Karen and her mother) go to the party, how many are adults and how many are Karen’s friends? How much will the food cost?

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francocanacari francocanacari · Answer 1 · 2021-12-16T13:15:15+01:00

The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:

26 (25 friends and one adult) +
26 (25 friends and one adult) +
26 (25 friends and one adult) +
26 (25 friends and one adult) +
12 (10 friends + Karen and her mother) =
116 = 5 adults + 111 friends and Karen
111/4 x 20 = X
555 = X

Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

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