### Instruction: Mysoon collects glass ornaments. Ten more than 1/6 of the ornaments in her collection are handmade, and 1/2 of the handmade ornaments are antiques. If 1/8 of the ornaments in her collection are handmade antiques, how many ornaments are in her collection?
Answer Choices: (A) 36 (B) 60 (C) 120 (D) 144 (E) 180.### Response: Let's solve the multi-choice question step by step.
The number of ornaments = a
Ten more than 1/6 of the ornaments in her collection are handmade => Handmade = 10+a/6
1/2 of the handmade ornaments are antiques => Handmade ornaments = 1/2*(10+a/6) = 5 + a/12
1/8 of the ornaments in her collection are handmade antiques => Handmade ornaments = a/8
=> 5 + a/12 = a/8 => a = 120
The answer is C