Pam bought several cartons of Giggle Fruit Drinks to sell during the track meet. She paid 50 cents per carton. She sold all but 15 of the cartons for $1 each. At the end of the day, her profit was $22.50. How many cartons of Giggle did she buy?

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Answer:

75

Step-by-step

let c be the total number of cartoons

Cost of purchase = 50c

total sale price = 100(c-15)

profit = total sale price - cost of purchase    

        = 100(c-15) - 50c = 2250 cents

Then (100c-50c) - 1500 = 2250

then 50c = 3750

Then c = 3750/50 = 75

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