Problem:
Ed and Ann both have lemonade with their lunch. Ed orders the regular size. Ann gets the large lemonade, which is more than the regular. After both consume of their drinks, Ann gives Ed a third of what she has left, and 2 additional ounces. When they finish their lemonades they realize that they both drank the same amount. How many ounces of lemonade did they drink together?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let be the amount in a regular lemonade. Then a large lemonade holds , and Ann had lemonade left right before she gave Ed part of her drink. She gave him ounces. Because Ann and Ed drank the same amount of lemonade, it follows that , and . Thus ounces, ounces, and together they drank ounces.
The problems on this page are the property of the MAA's American Mathematics Competitions