Questions: 2.) During another one of Billy's shifts at the farm the owner informs him that pig 38-11 has been sold and will be picked up that afternoon. Which pig should Billy pull?
Transcript text: 2.) During another one of Billy's shifts at the farm the owner informs him that pig 38-11 has been sold and will be picked up that afternoon. Which pig should Billy pull?
Solution
Solution Steps
Step 1: Decoding the Pig's Ear Tags
The problem states that the pig number 38-11 is the one that needs to be pulled. This number scheme seems to represent the markings on the pig's ears. The number before the hyphen represents the total value of the markings on the left ear, and the number after the hyphen represents the markings on the right ear.
Step 2: Calculating Ear Values
Looking at the first pig, the left ear has markings 81, 3, and 1, which sum to 85. The right ear has markings 9, 27, and 3, which sum to 39. This pig is 85-39.
The second pig's left ear sums to 93 (81 + 9 + 3) and the right ear sums to 30 (27 + 3 + 1 - 1, assuming the shaded triangle means subtract 1). This pig is 93-30.
The third pig's left ear sums to 30 (9 + 3 + 1 + 27 - 20, where the two shaded triangles subtract 10 each). The right ear sums to 13 (81 + 3 + 1 - 69, with three triangles subtracting 23 each, and assuming the two shaded triangles subtract 10 each). This pig is 30-13.
The fourth pig's left ear is 39 (9+3+27), and the right ear is 12 (81+3+1-73, with the triangles meaning subtraction of 23 each and shading meaning minus 10 each). This is pig 39-12.
If the shading of triangles subtracts 1 from a section's value, then the second pig is 93-38, and the third pig is 38-11.
Final Answer:
The third pig (from left to right) should be pulled, as its ear markings sum to 38-11 when considering that the shaded triangles indicate a subtraction of 1 for each shaded region.