Problema Solution

Joy was selling lemonade at .25 per half cup and .50 per full cup. She made 15.00 that day and used 37 cups. How many half cups did she sell and how many full cups did she sell ?

Answer provided by our tutors

let


h = the number of half cups

f = the number of full cups


h + f = 37


she made $15.00:


0.25h + 0.50f = 15 divide both sides by 0.25


h + 2f = 60


by solving the system of equations:


h + f = 37

h + 2f = 60


we find


h = 14 half cups


f = 23 full cups


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Joy sold 14 half cups and 23 full cups.