
1. Consider the first equation: Three pairs of red sports shoes equal 30. From this, we deduce that one pair of red sports shoes is equal to 30 divided by 3, which is 10. Therefore, one red sports shoe is equal to 10 divided by 2, which is 5.
2. The second equation states that two people who did not buy ice cream also did not wear red shoes, plus the person who owns a pair of red shoes, their total value equals 20. If two people with nothing are worth 10, then the person with a pair of red shoes is worth 20 minus 10, which is 10.
3. The third equation is: Two ice creams plus a person who bought nothing total 13. A pair of ice creams is worth 8, so two pairs of ice creams are worth 8 times 2, which is 16. Adding the value of the person who bought nothing (2) to this, we get 18, not 13. There may be an error here, as according to the equation, the total value of two pairs of ice creams and a person should be 20 (16+4), and if this person is the one who didn't buy ice cream, their value should be 2.
4. Using the information from above, we get: 5 + (5 + 10 + 4) x 2 = 5 + 24 = 29, not 43. There is also an error here, as according to the equation, it should be 5 + (5 + 10 + 2) x 2 = 5 + 34 = 39.
Summary: After refining and correcting the errors, we should notice the specific numbers and logical relationships in each equation to ensure that every calculation is accurate.