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IMAS 2020–2021 Junior Division — First Round Question 14

IMAS · IMAS 2020–2021 Junior Division — First Round

Question 14

John wants to know the weight of a bottle of fruit juice using a two-pan balance having the following items, namely a Teddy Bear doll, a Snoopy doll, a Mickey Mouse doll and 5 kg weight as follows:
- If John places the Teddy Bear doll and the bottle of juice on the left plate, and places both the Snoopy and Mickey Mouse dolls on the right plate, it will be balanced.
- If John places the Snoopy doll, Mickey Mouse doll and the bottle of juice on the left plate, and places the Teddy Bear doll and the 5 kg weight on the right plate, it will be balanced.
What is the weight, in kg, of the bottle of juice?
  1. $2.5$
  2. $3$
  3. $3.5$
  4. $4$
  5. $5$