Final answer:
By dividing the total 4 cups of lemonade by the portion size of 3/4 cup per friend, we find that approximately 5.33 friends can have lemonade. This means that 5 friends can have a full 3/4 cup each with a little leftover.
Step-by-step explanation:
To determine how many friends can drink lemonade, we must first understand how much lemonade is available and how much each friend gets. John has 4 cups of lemonade, and each friend receives 3/4 of a cup. We set up a proportion to solve the problem:
Total available lemonade: 4 cupsAmount per friend: 3/4 cup
To find out how many friends can drink lemonade, we divide the total amount of lemonade by the amount each friend receives:
4 cups ÷ (3/4 cups/friend) = x friends4 cups ÷ 3/4 cups = 4/1 × 4/3 = 16/3x = 16/3So, 16/3 friends or approximately 5.33 friends can have lemonade, which implies that 5 friends can have a full 3/4 cup of lemonade each, and there would be a little left over.In this problem, we used a tape diagram to divide the total lemonade into portions of 3/4 cup each, which visually represents the same division calculation.