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?

Number of cinammon = 12

Number of chocolate = 21

Step-by-step explanation:

Given that:

Cost of Cinnamon candle , c = $3.50

Cost of chocolate candle , d = $2.50

Total amount raised, T = $94.50

d = 2c - 3

Total amount = (cost of Cinnamon * number sold) + (cost of chocolate * number sold)

94.50 = (3.50 * c) + (2.50 * (2c-3))

94.50 = 3.50c + 5c - 7.5

94.50 = 8.50c - 7.5

94.50 + 7.5 = 8.50c

102 = 8.50c

c = 102 / 8.50

c = 12

d = 2c - 3

d = 2(12) - 3

d = 24 - 3

d = 21

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