Question

The Sunny Day Juice Stand sells freshly squeezed lemonade and orange juice at the farmer’s market. The juices are ladled out of large glass jars, each holding exactly the same amount of juice. Linda and Julie set up their stand early one Saturday morning. The first customer of the day ordered orange juice and Linda carefully ladled out 8 ounces into a paper cup. As she was about to hand the cup to the customer, he changed his mind and asked for lemonade instead. Accidentally, Linda dumped the cup of orange juice into a jar of lemonade. She quickly mixed up the juices, ladled out a cup of the mixture (mostly lemonade) and turned to hand it to the customer. “I’ve decided I don’t want anything to drink right now,” he said, and frazzled, Linda dumped the cupful of juice mixture into the orange juice jar. Linda’s assistant, Julie, watched all of this with amusement. As the man walked away, she wondered aloud, “Now is there more orange juice in the lemonade or more lemonade in the orange juice?” a) Determine if there is more (quantity) lemonade in the orange juice or more orange juice in the lemonade. b) Once you think you’ve solved the problem as stated, decide if it makes a difference if (i) the mixture is stirred versus not stirred and/or (ii) if the two jars contain different amounts of juice at the start of the problem. Explain your reasoning.

Answer 1