2014 AMC 12B Problem 6
Problem 6 of 25EasierAlgebra
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 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?
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Solution
Let a regular lemonade hold ounces, so Ann’s large holds After each drinks Ann has left, and she gives Ed ounces.
Ed drinks his full ounces plus that gift, and Ann drinks her minus the gift. Setting these equal, which gives so
Then Ed drank ounces and Ann drank ounces, for a total of ounces.
Thus, the correct answer is D.