Bob's average score for 4 tests is 56. His score for the first test is 3/4 of his score for the second test. His score for the third test is 14 marks more than his score for the second test. His scores for the first and fourth tests are the same. How many marks did he score for his third test?
[tex] {1}^{st} + {2}^{nd} + {3}^{rd} + {4}^{th} = 56 \times 4 \\ 3x + 4x + 4x + 14 + 3x = 224 \\ 14x = 224 - 14 \\ x = \frac{210}{14} = 15 \\ \\ Bob's \: third \: score \\ 4x + 14 \\ 4(15) + 14 \\ 60 + 14 \\ 74[/tex]