ChinaFactor :
China,grade 1 for 7 yrs old😏17. Mr. Li has 9 weights that are identical in appearance. Due to varying degrees of hollowness inside each weight, their masses are 1 gram, 2 grams, 3 grams, …, 8 grams, and 9 grams. To distinguish these 9 weights, Mr. Li marked each one as shown in the figure below:
○₁ ○₂ ○₃ □₁ □₂ □₃ △₁ △₂ △₃
It is known that:
- Among the 3 weights with the same shape, the larger the number, the greater the mass.
- Among the 3 weights with the same number, ○ represents the lightest, △ the second lightest, and □ the heaviest.
In addition, Mr. Li placed some weights on both ends of a balance scale, and the results are shown in the figures below:
1. Left pan: △₁ + □₂ ; Right pan: △₃ + ○₂ (balanced)
2. Left pan: △₃ + ○₃ ; Right pan: △₂ + □₃ (left pan is heavier)
3. Left pan: △₃ + □₁ ; Right pan: □₂ + ○₃ (balanced)
Question: What mass (in grams) does each mark represent?
2026-04-25 06:26:52