Please reason step by step, and put your final answer within \boxed{}.
Claudia has 122 ounces of water and is filling up cups. She has 8-ounce glasses, 5-ounce glasses, and 4-ounce glasses. She fills some 5-ounce glasses and four 8-ounce glasses. She can fill 15 4-ounce glasses with the remaining water. How many 5-ounce glasses did she fill?
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