Name ______________________________________ Date __________________ Period ____ SOUR POWER Warm Up: Sydney has set up a lemonade stand at the local fair. She makes her lemonade by mixing lemon concentrate and water. On three different days, she used different amounts of concentrate and water. WHICH DAY’S LEMONADE HAD THE STRONGEST LEMON FLAVOR? Day Cups of Concentrate Cups of Water 1 17 34 2 24 60 3 27 63 Cups of Lemonade Mixture Overall Concentration: (Ratio of Concentrate to Mixture) Answer _________________ --------------------------------------------------------------------------------------------------------------------I. What If…? What if Sydney had mixed all three batches of lemonade together the day before the fair, what would have been the overall concentration of this mixture? a.) How many cups of concentrate did Sydney use for the three batches? b.) How many cups of water did she use for the three batches? c.) How many cups of mixture were in the three batches? d.) What was the overall concentration as a fraction? As a decimal? As a percent? II. School Play Sydney is going to sell lemonade at a school play. She wants to use a 30% overall lemonade mixture, and she wants to make 150 cups of lemonade mixture. How many cups of concentrate will she need to use? a.) For the lemonade Sydney plans to make, what will be the ratio of cups of concentrate to cups of lemonade? (Hint: Think about the percent given) b.) How many cups of lemonade mixture will she make? c.) How can you represent the ratio of cups of concentrate to cups of lemonade in the final mixture? (Hint: You will need to use a variable.) d.) How can you find a ratio that is equivalent to the ratio you found in part (a) but has a denominator of 150? Try On Your Own: Sydney now wants to create a 40% overall lemonade mixture, and she wants to make 400 cups of lemonade mixture. How many cups of concentrate will she need to use? Name _________________________________ Date ________________ Period ______ 1.) If Sydney wanted to drop down to a 20% mixture but still wants to make 150 cups of lemonade, how much concentrate will she use? 2.) Complete the table. Which day has the WEAKEST lemonade mixture? Day Cups of Concentrate Cups of Water 1 14 29 2 21 55 3 24 58 Cups of Mixture Ratio of Concentrate to Mixture Name __________________________________ Date _________________ Period ______ 1.) If Sydney wanted to drop down to a 20% mixture but still wants to make 150 cups of lemonade, how much concentrate will she use? 2.) Complete the table. Which day has the WEAKEST lemonade mixture? Day Cups of Concentrate Cups of Water 1 14 29 2 21 55 3 24 58 Cups of Mixture Ratio of Concentrate to Mixture Name _________________________________ Date _________________ Period ____ Suppose the ingredients for all the lemonade cost Sydney $45.75. She spent $8.25 for paper cups and napkins and $12 a day for table rental at the fair. If she sold all 150 cups of her lemonade in three days and charged $0.75 per cup, what was her PROFIT? (You must show all your work!)