Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocolate candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell? 10 18 20 21

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Mathematics

Justin Underwood

14 October, 09:19

Jacqui is selling scented candles as a fundraiser for a school field trip. Each cinnamon candle sells for $3.50 and each chocolate candle sells for $2.50. She raised a total of $94.50 for the trip. The number of chocolate candles that Jacqui sold is three less than twice the number of cinnamon candles. Let c represent the number of chocolate candles and let m represent the number of cinnamon candles. How many chocolate candles did Jacqui sell? 10 18 20 21

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Hadassah Page · Answer 1

3.50m + 2.50c = 94.50

c = 2m - 3

3.50m + 2.50 (2m - 3) = 94.50

3.50m + 5m - 7.50 = 94.50

3.50m + 5m = 94.50 + 7.50

8.50m = 102

m = 102/8.50

m = 12 ... she sold 12 cinnamon candles

c = 2m - 3

c = 2 (12) - 3

c = 24 - 3

c = 21 < = = she sold 21 chocolate candles